Algebraic and Geometric Topology

Papers
(The median citation count of Algebraic and Geometric Topology is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-06-01 to 2025-06-01.)
ArticleCitations
The multiplicative structures on motivic homotopy groups9
Quasi-isometric rigidity of subgroups and filtered ends8
On some p–differential graded link homologies, II8
Homotopy types of suspended 4–manifolds7
Moduli space of nonnegatively curved metrics on manifolds of dimension 4k + 17
Geometrically bounding 3–manifolds, volume and Betti numbers6
Correction to the article Hopf ring structure on the mod p cohomology of symmetric groups6
Geometric limits of cyclic subgroups of SO0(1,k + 1) and SU(1,k + 1)6
Powers of Dehn twists generating right-angled Artin groups6
Nonslice linear combinations of iterated torus knots5
The space of nonextendable quasimorphisms5
The handlebody group and the images of the second Johnson homomorphism5
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Chow–Witt rings of Grassmannians5
A connection between cut locus, Thom space and Morse–Bott functions5
On k-invariants for (∞,n)-categories5
Fourier transforms and integer homology cobordism4
Homotopy classification of 4–manifolds whose fundamental group is dihedral4
Convexity in hierarchically hyperbolic spaces4
Nielsen equivalence in Fuchsian groups4
Index-bounded relative symplectic cohomology4
On keen weakly reducible bridge spheres4
Steenrod problem and some graded Stanley–Reisner rings4
The Hurewicz theorem in homotopy type theory4
Configurations of noncollinear points in the projective plane4
Slice genus bound in DTS2 from s–invariant4
The topological slice genus of satellite knots4
Projective naturality in Heegaard Floer homology3
Finite presentations for stated skein algebras and lattice gauge field theory3
Projection complexes and quasimedian maps3
Unstable modules with only the top k Steenrod operations3
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Rigidification of cubical quasicategories3
Loop homotopy of 6–manifolds over 4–manifolds3
Free and based path groupoids3
Generalized Long–Moody functors3
Sequential parametrized topological complexity and related invariants3
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A basis for the Kauffman skein module of the product of a surface and a circle3
Picard groups and duality for real Morava E–theories3
ℤk–stratifolds3
On symplectic fillings of small Seifert 3–manifolds3
2–Segal objects and the Waldhausen construction3
Smallest nonabelian quotients of surface braid groups3
Analytic approach to S1–equivariant Morse inequalities3
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3–manifolds2
Persistently foliar composite knots2
On the wheeled PROP of stable cohomology of Aut(Fn) with bivariant coefficients2
Embedding calculus for surfaces2
Hierarchical hyperbolicity of graphs of multicurves2
Formal contact categories2
Complex hypersurfaces in direct products of Riemann surfaces2
Chromatic (co)homology of finite general linear groups2
Circular-orderability of 3-manifold groups2
Equivariant fundamental classes in RO(C2)–graded cohomology with ℤ∕2–coefficients2
Bigrading the symplectic Khovanov cohomology2
On finitely generated normal subgroups of Kähler groups2
Combinatorial proof of Maslov index formula in Heegaard Floer theory2
Mod 2 power operations revisited2
Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary2
Rigidity at infinity for the Borel function of the tetrahedral reflection lattice2
Smooth constructions of homotopy-coherent actions2
Computing the Morava K–theory of real Grassmannians using chromatic fixed point theory2
Barcode embeddings for metric graphs2
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On the involutive Heegaard Floer homology of negative semidefinite plumbed 3-manifolds with b1= 12
Classifying spaces of infinity-sheaves2
The Burau representation and shapes of polyhedra2
Cohomological and geometric invariants of simple complexes of groups2
Asymptotic dimension of graphs of groups and one-relator groups2
Infinitely many arithmetic alternating links2
Bounded cohomology of classifying spaces for families of subgroups2
Splitting Madsen–Tillmann spectra, II : The Steinberg idempotents and Whitehead conjecture2
Coxeter systems with 2–dimensional Davis complexes, growth rates and Perron numbers2
Height four formal groups with quadratic complex multiplication2
Hyperbolic groups with logarithmic separation profile2
The minimal genus of homology classes in a finite 2–complex2
Vector fields on noncompact manifolds2
Finite presentations of the mapping class groups of once-stabilized Heegaard splittings2
Ascent concordance2
The homotopy type of elliptic arrangements2
No homotopy 4–sphere invariants using ECH=SWF2
On the positivity of twisted L2–torsion for 3–manifolds2
Geodesics in the mapping class group2
Morse–Bott cohomology from homological perturbation theory2
External Spanier–Whitehead duality and homology representation theorems for diagram spaces2
Module structure of the homology of right-angled Artin kernels2
Geometric triangulations of a family of hyperbolic 3–braids2
The strong Haken theorem via sphere complexes2
Branched covers bounding rational homology balls2
Geometric triangulations and highly twisted links2
A Leray–Serre spectral sequence for Lagrangian Floer theory2
Planar Legendrian graphs2
GKM manifolds are not rigid2
Trisections of 3–manifold bundles over S11
Actions of solvable Baumslag–Solitar groups on hyperbolic metric spaces1
Milnor–Witt motivic cohomology of complements of hyperplane arrangements1
The bridge number of arborescent links with many twigs1
Moduli spaces of geometric graphs1
The rank filtration via a filtered bar construction1
On the secondary Upsilon invariant1
Homological polynomial coefficients and the twist number of alternating surface links1
Coloring invariants of knots and links are often intractable1
New bounds on maximal linkless graphs1
The real-oriented cohomology of infinite stunted projective spaces1
Discontinuous motions of limit sets1
Parametrized higher category theory1
Milnor invariants of braids and welded braids up to homotopy1
An algorithmic definition of Gabai width1
Relations amongst twists along Montesinos twins in the 4-sphere1
Leighton’s theorem and regular cube complexes1
Chern character for infinity vector bundles1
Presentations for cusped arithmetic hyperbolic lattices1
Bialgebraic approach to rack cohomology1
An analogue of Milnor’s invariants for knots in 3–manifolds1
The H????2–homology of C2–equivariant Eilenberg–Mac Lane spaces1
Constrained knots in lens spaces1
On the cohomology ring of symplectic fillings1
Alternating links with totally geodesic checkerboard surfaces1
Symmetric homotopy theory for operads1
A model for configuration spaces of points1
Minimal surfaces with arbitrary topology in ℍ2× ℝ1
Invariance of immersed Floer cohomology under Maslov flows1
Dimension of representation and character varieties for two- and three-orbifolds1
Enriched quasicategories and the templicial homotopy coherent nerve1
An explicit comparison between 2–complicial sets and Θ2–spaces1
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Definition of the cord algebra of knots using Morse thoery1
Connective models for topological modular forms of level n1
Maximal knotless graphs1
Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor1
On the invariance of the Dowlin spectral sequence1
Classification of torus bundles that bound rational homology circles1
Presentations of the Roger–Yang generalized skein algebra1
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The Heisenberg double of involutory Hopf algebras and invariants of closed 3–manifolds1
Colored Jones polynomials without tails1
Right-angled Artin subgroups of right-angled Coxeter and Artin groups1
Morse elements in Garside groups are strongly contracting1
Stable subgroups of the genus 2 handlebody group1
The localization of orthogonal calculus with respect to homology1
Ribbon 2–knot groups of Coxeter type1
Classifying rational G–spectra for profinite G1
Homological stability for moduli spaces of disconnected submanifolds, I1
Rectification of interleavings and a persistent Whitehead theorem1
On homotopy groups of EChG24∧A11
On the functoriality of ????????2 tangle homology1
Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization1
Geodesic complexity of homogeneous Riemannian manifolds1
Upper bounds for the Lagrangian cobordism relation on Legendrian links1
The diameter of random Belyĭ surfaces1
Filling braided links with trisected surfaces1
Configuration spaces of squares in a rectangle1
Simple embeddings of rational homology balls and antiflips1
Equivariantly slicing strongly negative amphichiral knots1
The existence of a universal transverse knot1
Projective modules and the homotopy classification of (G,n)–complexes1
Pushouts of Dwyer maps are (∞,1)–categorical1
Topological finiteness properties of monoids, I: Foundations1
A topological construction of families of Galois covers of the line1
Mapping class groups of surfaces with noncompact boundary components1
Wall-crossing from Lagrangian cobordisms1
A uniformizable spherical CR structure on a two-cusped hyperbolic 3–manifold1
What are GT–shadows ?1
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Homotopy types of gauge groups over Riemann surfaces1
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Macroscopic band width inequalities1
On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3–manifolds1
A bivariant Yoneda lemma and (∞,2)–categories of correspondences1
On measurings of algebras over operads and homology theories1
A scanning algorithm for odd Khovanov homology1
Slope norm and an algorithm to compute the crosscap number1
Extension DGAs and topological Hochschild homology1
An embedding of the Morse boundary in the Martin boundary1
Torsion models for tensor-triangulated categories: the one-step case1
On unknotting tunnel systems of satellite chain links1
Special eccentricities of rational four-dimensional ellipsoids1
A Bauer–Furuta-type refinement of Kronheimer and Mrowka’s invariant for 4–manifolds with contact boundary1
Profinite isomorphisms and fixed-point properties1
Spun normal surfaces in 3–manifolds, I : 1–efficient triangulations1
Closed subsets of a CAT(0) 2–complex are intrinsically CAT(0)1
Handlebody bundles and polytopes1
Relative Khovanov–Jacobsson classes1
Subgroups of direct products of limit groups over Droms RAAGs1
Turning vector bundles1
Iterated traces in 2–categories and Lefschetz theorems1
Differential geometric invariants for time-reversal symmetric Bloch bundles, II : The low-dimensional “quaternionic” case1
Two-dimensional extended homotopy field theories1
Regluing graphs of free groups1
The localization spectral sequence in the motivic setting1
Generalizing quasicategories via model structures on simplicial sets1
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Lannes’s T–functor and equivariant Chow rings0
Round fold maps on 3–manifolds0
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Representation stability for homotopy automorphisms0
Nonorientable link cobordisms and torsion order in Floer homologies0
Relatively geometric actions of Kähler groups on CAT(0) cube complexes0
Acylindrical hyperbolicity of cubical small cancellation groups0
Monoidal properties of Franke’s exotic equivalence0
Locally equivalent Floer complexes and unoriented link cobordisms0
The persistent topology of optimal transport based metric thickenings0
Localization of a KO∗(pt)-valued index and the orientability of the Pin−(2) monopole moduli space0
Cusps and commensurability classes of hyperbolic 4–manifolds0
A Levine–Tristram invariant for knotted tori0
Invertible braided tensor categories0
Smith ideals of operadic algebras in monoidal model categories0
Topology and geometry of flagness and beltness of simple handlebodies0
Smooth one-dimensional topological field theories are vector bundles with connection0
Loxodromic elements in big mapping class groups via the Hooper–Thurston–Veech construction0
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Limits of sequences of pseudo-Anosov maps and of hyperbolic 3–manifolds0
Distinguishing Legendrian knots with trivial orientation-preserving symmetry group0
Slope gap distributions of Veech surfaces0
Detecting isomorphisms in the homotopy category0
Turaev hyperbolicity of classical and virtual knots0
A vanishing identity of adjoint Reidemeister torsions of twist knots0
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Efficient multisections of odd-dimensional tori0
Smooth singular complexes and diffeological principal bundles0
A concave holomorphic filling of an overtwisted contact 3–sphere0
On a problem of Hopf for circle bundles over aspherical manifolds with hyperbolic fundamental groups0
Twisted Morava K–theory and connective covers of Lie groups0
Bounds on Pachner moves and systoles of cusped 3–manifolds0
Admissible replacements for simplicial monoidal model categories0
The shape of the filling-systole subspace in surface moduli space and critical points of the systole function0
Intrinsic symmetry groups of links0
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Taut foliations leafwise branch cover S20
A–infinity algebras, strand algebras, and contact categories0
The Heisenberg plane0
A qualitative description of the horoboundary of the Teichmüller metric0
A reduction of the string bracket to the loop product0
Foliated open books0
The homology of a Temperley–Lieb algebra on an odd number of strands0
On a nonorientable analogue of the Milnor conjecture0
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Tautological characteristic classes, I0
Spectral diameter of Liouville domains0
Extendable periodic automorphisms of closed surfaces over the 3–sphere0
The realization problem for noninteger Seifert fibered surgeries0
Combinatorial N∞ operads0
Equivariant cohomology and the super reciprocal plane of a hyperplane arrangement0
Parabolic subgroups acting on the additional length graph0
A mnemonic for the Lipshitz–Ozsváth–Thurston correspondence0
Infinite families of higher torsion in the homotopy groups of Moore spaces0
Models of G–spectra as presheaves of spectra0
The Devinatz–Hopkins theorem via algebraic geometry0
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