Algebraic and Geometric Topology

Papers
(The TQCC of Algebraic and Geometric Topology is 1. 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 2021-05-01 to 2025-05-01.)
ArticleCitations
The multiplicative structures on motivic homotopy groups9
Quasi-isometric rigidity of subgroups and filtered ends7
On some p–differential graded link homologies, II7
Correction to the article Hopf ring structure on the mod p cohomology of symmetric groups6
Homotopy types of suspended 4–manifolds6
The handlebody group and the images of the second Johnson homomorphism6
Moduli space of nonnegatively curved metrics on manifolds of dimension 4k + 16
Fourier transforms and integer homology cobordism5
Powers of Dehn twists generating right-angled Artin groups5
Geometrically bounding 3–manifolds, volume and Betti numbers5
A connection between cut locus, Thom space and Morse–Bott functions5
Geometric limits of cyclic subgroups of SO0(1,k + 1) and SU(1,k + 1)5
Nonslice linear combinations of iterated torus knots5
Chow–Witt rings of Grassmannians5
Configurations of noncollinear points in the projective plane4
2–Segal objects and the Waldhausen construction4
The topological slice genus of satellite knots4
Slice genus bound in DTS2 from s–invariant4
Homotopy classification of 4–manifolds whose fundamental group is dihedral4
Convexity in hierarchically hyperbolic spaces4
The Hurewicz theorem in homotopy type theory4
Index-bounded relative symplectic cohomology4
On keen weakly reducible bridge spheres4
Steenrod problem and some graded Stanley–Reisner rings4
Nielsen equivalence in Fuchsian groups4
Unstable modules with only the top k Steenrod operations3
Rigidification of cubical quasicategories3
Smallest nonabelian quotients of surface braid groups3
Generalized Long–Moody functors3
Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary3
Loop homotopy of 6–manifolds over 4–manifolds3
Analytic approach to S1–equivariant Morse inequalities3
3
Picard groups and duality for real Morava E–theories3
Projective naturality in Heegaard Floer homology3
Finite presentations for stated skein algebras and lattice gauge field theory3
Module structure of the homology of right-angled Artin kernels3
ℤk–stratifolds3
On symplectic fillings of small Seifert 3–manifolds3
Sequential parametrized topological complexity and related invariants3
A basis for the Kauffman skein module of the product of a surface and a circle3
Projection complexes and quasimedian maps3
Free and based path groupoids3
A Leray–Serre spectral sequence for Lagrangian Floer theory3
3
On finitely generated normal subgroups of Kähler groups2
Geometric triangulations and highly twisted links2
Embedding calculus for surfaces2
Smooth constructions of homotopy-coherent actions2
Formal contact categories2
On the positivity of twisted L2–torsion for 3–manifolds2
Infinitely many arithmetic alternating links2
Splitting Madsen–Tillmann spectra, II : The Steinberg idempotents and Whitehead conjecture2
External Spanier–Whitehead duality and homology representation theorems for diagram spaces2
Chromatic (co)homology of finite general linear groups2
Geodesics in the mapping class group2
Vector fields on noncompact manifolds2
Coxeter systems with 2–dimensional Davis complexes, growth rates and Perron numbers2
Equivariant fundamental classes in RO(C2)–graded cohomology with ℤ∕2–coefficients2
Mod 2 power operations revisited2
Planar Legendrian graphs2
Rigidity at infinity for the Borel function of the tetrahedral reflection lattice2
The homotopy type of elliptic arrangements2
The Burau representation and shapes of polyhedra2
Height four formal groups with quadratic complex multiplication2
2
Branched covers bounding rational homology balls2
Hierarchical hyperbolicity of graphs of multicurves2
GKM manifolds are not rigid2
Complex hypersurfaces in direct products of Riemann surfaces2
The strong Haken theorem via sphere complexes2
Bounded cohomology of classifying spaces for families of subgroups2
Hyperbolic groups with logarithmic separation profile2
No homotopy 4–sphere invariants using ECH=SWF2
The minimal genus of homology classes in a finite 2–complex2
On the wheeled PROP of stable cohomology of Aut(Fn) with bivariant coefficients2
Morse–Bott cohomology from homological perturbation theory2
Bigrading the symplectic Khovanov cohomology2
Cohomological and geometric invariants of simple complexes of groups2
Combinatorial proof of Maslov index formula in Heegaard Floer theory2
Classifying spaces of infinity-sheaves2
Geometric triangulations of a family of hyperbolic 3–braids2
Asymptotic dimension of graphs of groups and one-relator groups2
1
A bivariant Yoneda lemma and (∞,2)–categories of correspondences1
Generalizing quasicategories via model structures on simplicial sets1
Parametrized higher category theory1
The diameter of random Belyĭ surfaces1
An explicit comparison between 2–complicial sets and Θ2–spaces1
A scanning algorithm for odd Khovanov homology1
Turning vector bundles1
A topological construction of families of Galois covers of the line1
An algorithmic definition of Gabai width1
A model for configuration spaces of points1
Homological polynomial coefficients and the twist number of alternating surface links1
Rectification of interleavings and a persistent Whitehead theorem1
Bialgebraic approach to rack cohomology1
Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization1
On the functoriality of ????????2 tangle homology1
Classification of torus bundles that bound rational homology circles1
Homotopy types of gauge groups over Riemann surfaces1
Coloring invariants of knots and links are often intractable1
Upper bounds for the Lagrangian cobordism relation on Legendrian links1
Profinite isomorphisms and fixed-point properties1
Minimal surfaces with arbitrary topology in ℍ2× ℝ1
Differential geometric invariants for time-reversal symmetric Bloch bundles, II : The low-dimensional “quaternionic” case1
Configuration spaces of squares in a rectangle1
Pushouts of Dwyer maps are (∞,1)–categorical1
Barcode embeddings for metric graphs1
Mapping class groups of surfaces with noncompact boundary components1
On measurings of algebras over operads and homology theories1
1
Computing the Morava K–theory of real Grassmannians using chromatic fixed point theory1
On the invariance of the Dowlin spectral sequence1
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3–manifolds1
Torsion models for tensor-triangulated categories: the one-step case1
Classifying rational G–spectra for profinite G1
Invariance of immersed Floer cohomology under Maslov flows1
On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3–manifolds1
The real-oriented cohomology of infinite stunted projective spaces1
Projective modules and the homotopy classification of (G,n)–complexes1
Right-angled Artin subgroups of right-angled Coxeter and Artin groups1
A uniformizable spherical CR structure on a two-cusped hyperbolic 3–manifold1
Trisections of 3–manifold bundles over S11
Stable subgroups of the genus 2 handlebody group1
What are GT–shadows ?1
1
The rank filtration via a filtered bar construction1
Maximal knotless graphs1
Colored Jones polynomials without tails1
Subgroups of direct products of limit groups over Droms RAAGs1
Relations amongst twists along Montesinos twins in the 4-sphere1
A Bauer–Furuta-type refinement of Kronheimer and Mrowka’s invariant for 4–manifolds with contact boundary1
Spun normal surfaces in 3–manifolds, I : 1–efficient triangulations1
Regluing graphs of free groups1
On the cohomology ring of symplectic fillings1
Simple embeddings of rational homology balls and antiflips1
Definition of the cord algebra of knots using Morse thoery1
Ribbon 2–knot groups of Coxeter type1
The existence of a universal transverse knot1
Geodesic complexity of homogeneous Riemannian manifolds1
Macroscopic band width inequalities1
Persistently foliar composite knots1
Connective models for topological modular forms of level n1
On homotopy groups of EChG24∧A11
Wall-crossing from Lagrangian cobordisms1
Chern character for infinity vector bundles1
Finite presentations of the mapping class groups of once-stabilized Heegaard splittings1
1
The Heisenberg double of involutory Hopf algebras and invariants of closed 3–manifolds1
Special eccentricities of rational four-dimensional ellipsoids1
New bounds on maximal linkless graphs1
Morse elements in Garside groups are strongly contracting1
Two-dimensional extended homotopy field theories1
Topological finiteness properties of monoids, I: Foundations1
Actions of solvable Baumslag–Solitar groups on hyperbolic metric spaces1
Handlebody bundles and polytopes1
Extension DGAs and topological Hochschild homology1
Equivariantly slicing strongly negative amphichiral knots1
Dimension of representation and character varieties for two- and three-orbifolds1
Constrained knots in lens spaces1
An analogue of Milnor’s invariants for knots in 3–manifolds1
Homological stability for moduli spaces of disconnected submanifolds, I1
Moduli spaces of geometric graphs1
Closed subsets of a CAT(0) 2–complex are intrinsically CAT(0)1
On unknotting tunnel systems of satellite chain links1
Presentations of the Roger–Yang generalized skein algebra1
The H????2–homology of C2–equivariant Eilenberg–Mac Lane spaces1
Leighton’s theorem and regular cube complexes1
Filling braided links with trisected surfaces1
Symmetric homotopy theory for operads1
Iterated traces in 2–categories and Lefschetz theorems1
Relative Khovanov–Jacobsson classes1
Discontinuous motions of limit sets1
1
Alternating links with totally geodesic checkerboard surfaces1
The localization spectral sequence in the motivic setting1
Ascent concordance1
The bridge number of arborescent links with many twigs1
Presentations for cusped arithmetic hyperbolic lattices1
Milnor–Witt motivic cohomology of complements of hyperplane arrangements1
Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor1
On the secondary Upsilon invariant1
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