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 2022-06-01 to 2026-06-01.)
ArticleCitations
Geometric limits of cyclic subgroups of SO0(1,k + 1) and SU(1,k + 1)16
Geometrically bounding 3–manifolds, volume and Betti numbers11
On some p–differential graded link homologies, II9
Correction to the article Hopf ring structure on the mod p cohomology of symmetric groups9
Chow–Witt rings of Grassmannians9
Algebras for enriched ∞-operads8
The handlebody group and the images of the second Johnson homomorphism8
A connection between cut locus, Thom space and Morse–Bott functions7
Classification of metric fibrations7
Atiyah–Segal completion for the Hermitian K-theory of symplectic groups7
On k-invariants for (∞,n)-categories7
The space of nonextendable quasimorphisms6
Homotopy types of suspended 4–manifolds5
The multiplicative structures on motivic homotopy groups5
Slice genus bound in DTS2 from s–invariant5
On local fibrations of (∞,2)-categories5
5
Nonslice linear combinations of iterated torus knots5
Skew-rack cocycle invariants of closed 3-manifolds5
On keen weakly reducible bridge spheres5
Pre-Lie algebras with divided powers and the Deligne groupoid in positive characteristic5
Quasi-isometric rigidity of subgroups and filtered ends5
Fourier transforms and integer homology cobordism5
The right angled Artin group functor as a categorical embedding5
4
On the topology of character varieties of once-punctured torus bundles4
On symplectic fillings of small Seifert 3–manifolds4
The homotopy type of the PL cobordism category, II4
Steenrod problem and some graded Stanley–Reisner rings4
The topological slice genus of satellite knots4
Geometric and arithmetic properties of Löbell polyhedra4
Rigidification of cubical quasicategories4
Action of the Mazur pattern up to topological concordance4
The Hurewicz theorem in homotopy type theory4
Homotopy classification of 4–manifolds whose fundamental group is dihedral4
Analytic approach to S1–equivariant Morse inequalities4
ℤk–stratifolds4
Projective naturality in Heegaard Floer homology4
Sequential parametrized topological complexity and related invariants4
4
Finiteness conjecture for 3-manifolds obtained from handlebodies by attaching 2-handles4
Convexity in hierarchically hyperbolic spaces4
Index-bounded relative symplectic cohomology4
Whitney tower concordance and knots in homology spheres3
Coxeter systems with 2–dimensional Davis complexes, growth rates and Perron numbers3
Asymptotic dimension of graphs of groups and one-relator groups3
Multitwists in big mapping class groups3
Warped product metrics on hyperbolic and complex hyperbolic manifolds3
The strong Haken theorem via sphere complexes3
Profinite completions of products3
Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary3
Mod 2 power operations revisited3
Free and based path groupoids3
Smallest nonabelian quotients of surface braid groups3
Module structure of the homology of right-angled Artin kernels3
Quillen homology of spectral Lie algebras with application to mod p homology of labeled configuration spaces3
Circular-orderability of 3-manifold groups3
Holomorphic polygons and the bordered Heegaard Floer homology of link complements3
Planar Legendrian graphs3
Bounded cohomology of classifying spaces for families of subgroups3
3
Equivariant cohomology of projective spaces3
Geometric triangulations and highly twisted links3
A Leray–Serre spectral sequence for Lagrangian Floer theory3
Projection complexes and quasimedian maps3
On the mapping class groups of simply connected smooth 4-manifolds3
Linear bounds of the crosscap number of knots3
Finite presentations for stated skein algebras and lattice gauge field theory3
Generating the liftable mapping class groups of cyclic covers of spheres3
Classifying spaces of infinity-sheaves3
Complex hypersurfaces in direct products of Riemann surfaces3
Characterising slopes for hyperbolic knots and Whitehead doubles3
Hyperbolic groups with logarithmic separation profile3
On finitely generated normal subgroups of Kähler groups3
Loop homotopy of 6–manifolds over 4–manifolds3
Generalized Long–Moody functors3
Cubulating a free-product-by-cyclic group2
A group-theoretic framework for low-dimensional topology, or: how not to study low-dimensional topology?2
Milnor–Witt motivic cohomology of complements of hyperplane arrangements2
Enriched quasicategories and the templicial homotopy coherent nerve2
Rigidity at infinity for the Borel function of the tetrahedral reflection lattice2
Explicit formulas for the Hattori–Stong theorem and applications2
Braided multitwists2
On the involutive Heegaard Floer homology of negative semidefinite plumbed 3-manifolds with b1= 12
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3–manifolds2
Bigrading the symplectic Khovanov cohomology2
The Burau representation and shapes of polyhedra2
Topological finiteness properties of monoids, I: Foundations2
Wall-crossing from Lagrangian cobordisms2
New bounds on maximal linkless graphs2
The Kakimizu complex for genus one hyperbolic knots in the 3-sphere2
Profinite isomorphisms and fixed-point properties2
Segalification and the Boardman–Vogt tensor product2
Ribbon 2–knot groups of Coxeter type2
Embedding calculus for surfaces2
Characterizations of stability via Morse limit sets2
Equivariant preimage theory for G-maps2
Finite presentations of the mapping class groups of once-stabilized Heegaard splittings2
Leighton’s theorem and regular cube complexes2
Infinitely many arithmetic alternating links2
An algorithmic definition of Gabai width2
Brauer–Wall groups and truncated Picard spectra of K-theory2
Homological stability for the ribbon Higman–Thompson groups2
Harmonic measures and rigidity for surface group actions on the circle2
Chromatic (co)homology of finite general linear groups2
Surgery sequences and self-similarity of the Mandelbrot set2
2
Morse–Bott cohomology from homological perturbation theory2
Right-angled Artin subgroups of right-angled Coxeter and Artin groups2
Geometric triangulations of a family of hyperbolic 3–braids2
Vector fields on noncompact manifolds2
Standard position for surfaces in link complements in arbitrary 3-manifolds2
Kontsevich’s characteristic classes as topological invariants of configuration space bundles2
The Borel cohomology of free iterated loop spaces2
Parametrized higher category theory2
Smooth constructions of homotopy-coherent actions2
Generalizing quasicategories via model structures on simplicial sets2
GKM manifolds are not rigid2
Formal contact categories2
On homotopy groups of EChG24∧A12
External Spanier–Whitehead duality and homology representation theorems for diagram spaces2
Torsion models for tensor-triangulated categories: the one-step case2
2
Computing the Morava K–theory of real Grassmannians using chromatic fixed point theory2
The minimal genus of homology classes in a finite 2–complex2
Special eccentricities of rational four-dimensional ellipsoids2
Product and coproduct on fixed point Floer homology of positive Dehn twists2
Cohomological and geometric invariants of simple complexes of groups2
The ????n-equivariant Euler characteristic of the moduli space of graphs2
2
Splitting Madsen–Tillmann spectra, II : The Steinberg idempotents and Whitehead conjecture2
Rank-preserving additions for topological vector bundles, after a construction of Horrocks2
On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3–manifolds2
Combinatorial proof of Maslov index formula in Heegaard Floer theory2
Extensions of finitely generated Veech groups2
On the positivity of twisted L2–torsion for 3–manifolds2
Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor2
Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces2
Extension DGAs and topological Hochschild homology2
2
A scanning algorithm for odd Khovanov homology2
On the wheeled PROP of stable cohomology of Aut(Fn) with bivariant coefficients2
Linear linkless embeddings: proof of a conjecture by Sachs2
Presentations for cusped arithmetic hyperbolic lattices2
Hamiltonian classification of toric fibres and symmetric probes1
What are GT–shadows ?1
A note on knot Floer homology of satellite knots with (1,1)-patterns1
Alternative versions of the Johnson homomorphisms and the LMO functor1
Classification of torus bundles that bound rational homology circles1
Mapping class groups of surfaces with noncompact boundary components1
A topological construction of families of Galois covers of the line1
Anchored foams and annular homology1
Finiteness properties of some groups of piecewise projective homeomorphisms1
Homological polynomial coefficients and the twist number of alternating surface links1
Bialgebraic approach to rack cohomology1
Slope norm and an algorithm to compute the crosscap number1
Definition of the cord algebra of knots using Morse thoery1
Pushouts of Dwyer maps are (∞,1)–categorical1
Chern character for infinity vector bundles1
Dimension of representation and character varieties for two- and three-orbifolds1
A minimality property for knots without Khovanov 2-torsion1
Isospectrality of Margulis–Smilga spacetimes for irreducible representations of real split semisimple Lie groups1
Relative Khovanov–Jacobsson classes1
1
Orbifolds, orbispaces and global homotopy theory1
Flat fully augmented links are determined by their complements1
Maximal knotless graphs1
1
An explicit comparison between 2–complicial sets and Θ2–spaces1
Noncommutative divergence and the Turaev cobracket1
????–compactifiable manifolds which are not pseudocollarable1
Spun normal surfaces in 3–manifolds, I : 1–efficient triangulations1
The slices of quaternionic Eilenberg–Mac Lane spectra1
Annular Khovanov homology and augmented links1
Geodesic complexity of homogeneous Riemannian manifolds1
Linear upper bounds on ribbonlength of knots and links1
The Curtis–Wellington spectral sequence through cohomology1
Moduli spaces of geometric graphs1
Acylindrical hyperbolicity for Artin groups with a visual splitting1
The real-oriented cohomology of infinite stunted projective spaces1
The cohomology of biquotients via a product on the two-sided bar construction1
Filling braided links with trisected surfaces1
Asymptotic cones of snowflake groups and the strong shortcut property1
Augmentations and ruling polynomials for Legendrian graphs1
The generalized Kauffman–Harary conjecture is true1
Projective modules and the homotopy classification of (G,n)–complexes1
On the structure of the RO(G)-graded homotopy of HM for cyclic p-groups1
On measurings of algebras over operads and homology theories1
The Heisenberg double of involutory Hopf algebras and invariants of closed 3–manifolds1
Constrained knots in lens spaces1
Horizontal decompositions, II1
Classifying rational G–spectra for profinite G1
Subgroups of direct products of limit groups over Droms RAAGs1
The H????2–homology of C2–equivariant Eilenberg–Mac Lane spaces1
Turning vector bundles1
An analogue of Milnor’s invariants for knots in 3–manifolds1
BNSR-invariants of surface Houghton groups1
Differential geometric invariants for time-reversal symmetric Bloch bundles, II : The low-dimensional “quaternionic” case1
Relative bounded cohomology on groups with contracting elements1
Connective models for topological modular forms of level n1
Symmetry in the cubical Joyal model structure1
Bridge trisections and Seifert solids1
Morse elements in Garside groups are strongly contracting1
A generalization of moment-angle manifolds with noncontractible orbit spaces1
1
Computations on cobordism groups of projected immersions1
An embedding of the Morse boundary in the Martin boundary1
Stable subgroups of the genus 2 handlebody group1
Verdier duality on conically smooth stratified spaces1
Kauffman bracket intertwiners and the volume conjecture1
On the cohomology ring of symplectic fillings1
Iterated traces in 2–categories and Lefschetz theorems1
Milnor invariants of braids and welded braids up to homotopy1
Upper bounds for the Lagrangian cobordism relation on Legendrian links1
The Alexandrov theorem for 2 + 1 flat radiant spacetimes1
Regluing graphs of free groups1
A bivariant Yoneda lemma and (∞,2)–categories of correspondences1
Relations amongst twists along Montesinos twins in the 4-sphere1
Actions of solvable Baumslag–Solitar groups on hyperbolic metric spaces1
Intersection norms on surfaces and Birkhoff sections for geodesic flows1
Unchaining surgery, branched covers, and pencils on elliptic surfaces1
Rectification of interleavings and a persistent Whitehead theorem1
Colored Jones polynomials without tails1
An obstruction theory for strictly commutative algebras in positive characteristic1
Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization1
Equivariantly slicing strongly negative amphichiral knots1
Classification of genus-two surfaces in S31
On the invariance of the Dowlin spectral sequence1
Powell’s conjecture on the Goeritz group of S3 is stably true1
Cofibrantly generated model structures for functor calculus1
Small cancellation and outer automorphisms of Kazhdan groups acting on hyperbolic spaces1
On the functoriality of ????????2 tangle homology1
The existence of a universal transverse knot1
Crushing surfaces of positive genus1
A model for configuration spaces of points1
1
Weave-realizability for D–type1
A note on rational maps with three branching points on the Riemann sphere1
The homotopy type of the PL cobordism category, I1
The localization of orthogonal calculus with respect to homology1
Twisted spectra revisited1
An exotic presentation of ℤ × ℤ and the Andrews–Curtis conjecture1
Homotopy types of gauge groups over Riemann surfaces1
Polyhedral coproducts1
A uniformizable spherical CR structure on a two-cusped hyperbolic 3–manifold1
A note on embeddings of 3-manifolds in symplectic 4-manifolds1
The localization spectral sequence in the motivic setting1
Two-dimensional extended homotopy field theories1
The bridge number of arborescent links with many twigs1
Profinite rigidity properties of central extensions of 2-orbifold groups0
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