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 2021-12-01 to 2025-12-01.)
ArticleCitations
Geometric limits of cyclic subgroups of SO0(1,k + 1) and SU(1,k + 1)13
Geometrically bounding 3–manifolds, volume and Betti numbers8
Quasi-isometric rigidity of subgroups and filtered ends8
Correction to the article Hopf ring structure on the mod p cohomology of symmetric groups8
A connection between cut locus, Thom space and Morse–Bott functions7
On some p–differential graded link homologies, II7
Chow–Witt rings of Grassmannians7
The multiplicative structures on motivic homotopy groups7
The handlebody group and the images of the second Johnson homomorphism6
Moduli space of nonnegatively curved metrics on manifolds of dimension 4k + 16
Algebras for enriched ∞-operads6
Nonslice linear combinations of iterated torus knots6
Atiyah–Segal completion for the Hermitian K-theory of symplectic groups5
On k-invariants for (∞,n)-categories5
Classification of metric fibrations5
Steenrod problem and some graded Stanley–Reisner rings4
The right angled Artin group functor as a categorical embedding4
The space of nonextendable quasimorphisms4
Fourier transforms and integer homology cobordism4
The homotopy type of the PL cobordism category, II4
The topological slice genus of satellite knots4
4
Nielsen equivalence in Fuchsian groups4
The Hurewicz theorem in homotopy type theory4
Homotopy classification of 4–manifolds whose fundamental group is dihedral4
On keen weakly reducible bridge spheres4
Homotopy types of suspended 4–manifolds4
Slice genus bound in DTS2 from s–invariant4
3
Convexity in hierarchically hyperbolic spaces3
3
On symplectic fillings of small Seifert 3–manifolds3
Projection complexes and quasimedian maps3
Mod 2 power operations revisited3
On finitely generated normal subgroups of Kähler groups3
Geometric and arithmetic properties of Löbell polyhedra3
Smallest nonabelian quotients of surface braid groups3
ℤk–stratifolds3
Analytic approach to S1–equivariant Morse inequalities3
Index-bounded relative symplectic cohomology3
Action of the Mazur pattern up to topological concordance3
Generalized Long–Moody functors3
Hyperbolic groups with logarithmic separation profile3
Finite presentations for stated skein algebras and lattice gauge field theory3
Module structure of the homology of right-angled Artin kernels3
Rigidification of cubical quasicategories3
Sequential parametrized topological complexity and related invariants3
Unstable modules with only the top k Steenrod operations3
Projective naturality in Heegaard Floer homology3
Loop homotopy of 6–manifolds over 4–manifolds3
Coxeter systems with 2–dimensional Davis complexes, growth rates and Perron numbers3
A Leray–Serre spectral sequence for Lagrangian Floer theory3
Free and based path groupoids3
Hierarchical hyperbolicity of graphs of multicurves2
Rank-preserving additions for topological vector bundles, after a construction of Horrocks2
Infinitely many arithmetic alternating links2
On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3–manifolds2
Splitting Madsen–Tillmann spectra, II : The Steinberg idempotents and Whitehead conjecture2
The rank filtration via a filtered bar construction2
Warped product metrics on hyperbolic and complex hyperbolic manifolds2
Braided multitwists2
Surgery sequences and self-similarity of the Mandelbrot set2
Holomorphic polygons and the bordered Heegaard Floer homology of link complements2
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3–manifolds2
Planar Legendrian graphs2
2
Linear bounds of the crosscap number of knots2
Smooth constructions of homotopy-coherent actions2
Bounded cohomology of classifying spaces for families of subgroups2
Embedding calculus for surfaces2
Chromatic (co)homology of finite general linear groups2
Geometric triangulations and highly twisted links2
Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces2
Rigidity at infinity for the Borel function of the tetrahedral reflection lattice2
Bigrading the symplectic Khovanov cohomology2
GKM manifolds are not rigid2
Profinite isomorphisms and fixed-point properties2
Morse–Bott cohomology from homological perturbation theory2
New bounds on maximal linkless graphs2
Circular-orderability of 3-manifold groups2
2
Product and coproduct on fixed point Floer homology of positive Dehn twists2
The strong Haken theorem via sphere complexes2
Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor2
Classifying spaces of infinity-sheaves2
Finite presentations of the mapping class groups of once-stabilized Heegaard splittings2
Complex hypersurfaces in direct products of Riemann surfaces2
On the involutive Heegaard Floer homology of negative semidefinite plumbed 3-manifolds with b1= 12
Whitney tower concordance and knots in homology spheres2
On the wheeled PROP of stable cohomology of Aut(Fn) with bivariant coefficients2
Equivariant cohomology of projective spaces2
On the positivity of twisted L2–torsion for 3–manifolds2
Multitwists in big mapping class groups2
Generating the liftable mapping class groups of cyclic covers of spheres2
Formal contact categories2
External Spanier–Whitehead duality and homology representation theorems for diagram spaces2
Vector fields on noncompact manifolds2
Branched covers bounding rational homology balls2
Topological finiteness properties of monoids, I: Foundations2
Combinatorial proof of Maslov index formula in Heegaard Floer theory2
2
Cohomological and geometric invariants of simple complexes of groups2
Computing the Morava K–theory of real Grassmannians using chromatic fixed point theory2
Harmonic measures and rigidity for surface group actions on the circle2
Asymptotic dimension of graphs of groups and one-relator groups2
Wall-crossing from Lagrangian cobordisms2
2
Milnor–Witt motivic cohomology of complements of hyperplane arrangements2
Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary2
Cubulating a free-product-by-cyclic group2
Quillen homology of spectral Lie algebras with application to mod p homology of labeled configuration spaces2
The Kakimizu complex for genus one hyperbolic knots in the 3-sphere2
Linear linkless embeddings: proof of a conjecture by Sachs2
The minimal genus of homology classes in a finite 2–complex2
Geometric triangulations of a family of hyperbolic 3–braids2
The Burau representation and shapes of polyhedra2
Classification of torus bundles that bound rational homology circles1
Geodesic complexity of homogeneous Riemannian manifolds1
Annular Khovanov homology and augmented links1
Dimension of representation and character varieties for two- and three-orbifolds1
Handlebody bundles and polytopes1
A Bauer–Furuta-type refinement of Kronheimer and Mrowka’s invariant for 4–manifolds with contact boundary1
Leighton’s theorem and regular cube complexes1
The H????2–homology of C2–equivariant Eilenberg–Mac Lane spaces1
Upper bounds for the Lagrangian cobordism relation on Legendrian links1
Bridge trisections and Seifert solids1
Classification of genus-two surfaces in S31
A topological construction of families of Galois covers of the line1
The existence of a universal transverse knot1
Differential geometric invariants for time-reversal symmetric Bloch bundles, II : The low-dimensional “quaternionic” case1
Asymptotic cones of snowflake groups and the strong shortcut property1
On the invariance of the Dowlin spectral sequence1
A minimality property for knots without Khovanov 2-torsion1
A note on embeddings of 3-manifolds in symplectic 4-manifolds1
The Heisenberg double of involutory Hopf algebras and invariants of closed 3–manifolds1
Maximal knotless graphs1
Homological stability for the ribbon Higman–Thompson groups1
An embedding of the Morse boundary in the Martin boundary1
An analogue of Milnor’s invariants for knots in 3–manifolds1
The localization spectral sequence in the motivic setting1
Generalizing quasicategories via model structures on simplicial sets1
The real-oriented cohomology of infinite stunted projective spaces1
Equivariantly slicing strongly negative amphichiral knots1
Mapping class groups of surfaces with noncompact boundary components1
On homotopy groups of EChG24∧A11
The homotopy type of the PL cobordism category, I1
Colored Jones polynomials without tails1
Presentations for cusped arithmetic hyperbolic lattices1
Powell’s conjecture on the Goeritz group of S3 is stably true1
Stable subgroups of the genus 2 handlebody group1
Computations on cobordism groups of projected immersions1
Relations amongst twists along Montesinos twins in the 4-sphere1
Iterated traces in 2–categories and Lefschetz theorems1
Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization1
An explicit comparison between 2–complicial sets and Θ2–spaces1
Filling braided links with trisected surfaces1
A model for configuration spaces of points1
Kauffman bracket intertwiners and the volume conjecture1
Cofibrantly generated model structures for functor calculus1
Spun normal surfaces in 3–manifolds, I : 1–efficient triangulations1
A uniformizable spherical CR structure on a two-cusped hyperbolic 3–manifold1
BNSR-invariants of surface Houghton groups1
The Curtis–Wellington spectral sequence through cohomology1
Turning vector bundles1
1
Right-angled Artin subgroups of right-angled Coxeter and Artin groups1
Chern character for infinity vector bundles1
Homotopy types of gauge groups over Riemann surfaces1
The ????n-equivariant Euler characteristic of the moduli space of graphs1
Slope norm and an algorithm to compute the crosscap number1
The Alexandrov theorem for 2 + 1 flat radiant spacetimes1
Extension DGAs and topological Hochschild homology1
Milnor invariants of braids and welded braids up to homotopy1
Subgroups of direct products of limit groups over Droms RAAGs1
Rectification of interleavings and a persistent Whitehead theorem1
A scanning algorithm for odd Khovanov homology1
A bivariant Yoneda lemma and (∞,2)–categories of correspondences1
Homological polynomial coefficients and the twist number of alternating surface links1
Actions of solvable Baumslag–Solitar groups on hyperbolic metric spaces1
Enriched quasicategories and the templicial homotopy coherent nerve1
Hamiltonian classification of toric fibres and symmetric probes1
Torsion models for tensor-triangulated categories: the one-step case1
Noncommutative divergence and the Turaev cobracket1
Bialgebraic approach to rack cohomology1
A group-theoretic framework for low-dimensional topology, or: how not to study low-dimensional topology?1
An exotic presentation of ℤ × ℤ and the Andrews–Curtis conjecture1
1
Two-dimensional extended homotopy field theories1
The localization of orthogonal calculus with respect to homology1
Projective modules and the homotopy classification of (G,n)–complexes1
Pushouts of Dwyer maps are (∞,1)–categorical1
On measurings of algebras over operads and homology theories1
The generalized Kauffman–Harary conjecture is true1
Relative Khovanov–Jacobsson classes1
On the functoriality of ????????2 tangle homology1
1
Flat fully augmented links are determined by their complements1
Intersection norms on surfaces and Birkhoff sections for geodesic flows1
The bridge number of arborescent links with many twigs1
Macroscopic band width inequalities1
Regluing graphs of free groups1
Classifying rational G–spectra for profinite G1
What are GT–shadows ?1
Parametrized higher category theory1
Connective models for topological modular forms of level n1
Discontinuous motions of limit sets1
Moduli spaces of geometric graphs1
Ribbon 2–knot groups of Coxeter type1
Horizontal decompositions, II1
Definition of the cord algebra of knots using Morse thoery1
On unknotting tunnel systems of satellite chain links1
Special eccentricities of rational four-dimensional ellipsoids1
Morse elements in Garside groups are strongly contracting1
1
On the cohomology ring of symplectic fillings1
A note on knot Floer homology of satellite knots with (1,1)-patterns1
Constrained knots in lens spaces1
An algorithmic definition of Gabai width1
The slices of quaternionic Eilenberg–Mac Lane spectra1
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