Algebraic and Geometric Topology

Papers
(The TQCC of Algebraic and Geometric Topology is 2. 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 2022-08-01 to 2026-08-01.)
ArticleCitations
Geometric limits of cyclic subgroups of SO0(1,k + 1) and SU(1,k + 1)17
Geometrically bounding 3–manifolds, volume and Betti numbers12
Correction to the article Hopf ring structure on the mod p cohomology of symmetric groups10
On some p–differential graded link homologies, II9
Chow–Witt rings of Grassmannians9
Algebras for enriched ∞-operads8
Classification of metric fibrations8
The handlebody group and the images of the second Johnson homomorphism8
Atiyah–Segal completion for the Hermitian K-theory of symplectic groups8
The space of nonextendable quasimorphisms7
On k-invariants for (∞,n)-categories7
Pre-Lie algebras with divided powers and the Deligne groupoid in positive characteristic6
6
Homotopy types of suspended 4–manifolds6
On the complexity of 2-bridge link complements5
A connection between cut locus, Thom space and Morse–Bott functions5
The Hurewicz theorem in homotopy type theory5
Index-bounded relative symplectic cohomology5
Fourier transforms and integer homology cobordism5
The multiplicative structures on motivic homotopy groups5
Nonslice linear combinations of iterated torus knots5
The right angled Artin group functor as a categorical embedding5
Finiteness conjecture for 3-manifolds obtained from handlebodies by attaching 2-handles5
On keen weakly reducible bridge spheres5
Skew-rack cocycle invariants of closed 3-manifolds5
On local fibrations of (∞,2)-categories5
Slice genus bound in DTS2 from s–invariant5
The homotopy type of the PL cobordism category, II5
Homotopy classification of 4–manifolds whose fundamental group is dihedral5
Quasi-isometric rigidity of subgroups and filtered ends5
ℤk–stratifolds4
Analytic approach to S1–equivariant Morse inequalities4
The topological slice genus of satellite knots4
Rigidification of cubical quasicategories4
Projective naturality in Heegaard Floer homology4
On the mapping class groups of simply connected smooth 4-manifolds4
Projection complexes and quasimedian maps4
Smallest nonabelian quotients of surface braid groups4
4
4
On symplectic fillings of small Seifert 3–manifolds4
Free and based path groupoids4
Module structure of the homology of right-angled Artin kernels4
Loop homotopy of 6–manifolds over 4–manifolds4
On the topology of character varieties of once-punctured torus bundles4
Steenrod problem and some graded Stanley–Reisner rings4
Convexity in hierarchically hyperbolic spaces4
Action of the Mazur pattern up to topological concordance4
Geometric and arithmetic properties of Löbell polyhedra4
Generalized Long–Moody functors4
Sequential parametrized topological complexity and related invariants4
Quillen homology of spectral Lie algebras with application to mod p homology of labeled configuration spaces3
The minimal genus of homology classes in a finite 2–complex3
Low complexity among principal fully irreducible elements of Out(F3)3
Circular-orderability of 3-manifold groups3
3
Linear bounds of the crosscap number of knots3
Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary3
Hyperbolic groups with logarithmic separation profile3
Geometric triangulations and highly twisted links3
Generating the liftable mapping class groups of cyclic covers of spheres3
3
Bigrading the symplectic Khovanov cohomology3
Morse–Bott cohomology from homological perturbation theory3
Chromatic (co)homology of finite general linear groups3
Planar Legendrian graphs3
Classifying spaces of infinity-sheaves3
Bounded cohomology of classifying spaces for families of subgroups3
The strong Haken theorem via sphere complexes3
Infinitely many arithmetic alternating links3
Finite presentations for stated skein algebras and lattice gauge field theory3
Whitney tower concordance and knots in homology spheres3
Coxeter systems with 2–dimensional Davis complexes, growth rates and Perron numbers3
A Leray–Serre spectral sequence for Lagrangian Floer theory3
Multitwists in big mapping class groups3
Brauer–Wall groups and truncated Picard spectra of K-theory3
Vector fields on noncompact manifolds3
Splitting Madsen–Tillmann spectra, II : The Steinberg idempotents and Whitehead conjecture3
Rank-preserving additions for topological vector bundles, after a construction of Horrocks3
Rigidity at infinity for the Borel function of the tetrahedral reflection lattice3
Complex hypersurfaces in direct products of Riemann surfaces3
Asymptotic dimension of graphs of groups and one-relator groups3
Characterising slopes for hyperbolic knots and Whitehead doubles3
Warped product metrics on hyperbolic and complex hyperbolic manifolds3
On finitely generated normal subgroups of Kähler groups3
Equivariant cohomology of projective spaces3
Mod 2 power operations revisited3
Holomorphic polygons and the bordered Heegaard Floer homology of link complements3
Profinite completions of products3
External Spanier–Whitehead duality and homology representation theorems for diagram spaces3
The Burau representation and shapes of polyhedra3
Combinatorial proof of Maslov index formula in Heegaard Floer theory3
Cohomological and geometric invariants of simple complexes of groups3
Milnor–Witt motivic cohomology of complements of hyperplane arrangements2
Leighton’s theorem and regular cube complexes2
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3–manifolds2
Polyhedral coproducts2
Wall-crossing from Lagrangian cobordisms2
Presentations for cusped arithmetic hyperbolic lattices2
Characterizations of stability via Morse limit sets2
A note on knot Floer homology of satellite knots with (1,1)-patterns2
Formal contact categories2
Isospectrality of Margulis–Smilga spacetimes for irreducible representations of real split semisimple Lie groups2
2
A group-theoretic framework for low-dimensional topology, or: how not to study low-dimensional topology?2
The Borel cohomology of free iterated loop spaces2
3d quantum trace map2
Smooth constructions of homotopy-coherent actions2
Standard position for surfaces in link complements in arbitrary 3-manifolds2
On the involutive Heegaard Floer homology of negative semidefinite plumbed 3-manifolds with b1= 12
Extension DGAs and topological Hochschild homology2
Explicit formulas for the Hattori–Stong theorem and applications2
Generalizing quasicategories via model structures on simplicial sets2
Geometric triangulations of a family of hyperbolic 3–braids2
On homotopy groups of EChG24∧A12
Braided multitwists2
Harmonic measures and rigidity for surface group actions on the circle2
An algorithmic definition of Gabai width2
2
Geodesic complexity of homogeneous Riemannian manifolds2
2
Two-dimensional extended homotopy field theories2
Finite presentations of the mapping class groups of once-stabilized Heegaard splittings2
Asymptotic cones of snowflake groups and the strong shortcut property2
Linear linkless embeddings: proof of a conjecture by Sachs2
Right-angled Artin subgroups of right-angled Coxeter and Artin groups2
On the positivity of twisted L2–torsion for 3–manifolds2
An explicit comparison between 2–complicial sets and Θ2–spaces2
Kontsevich’s characteristic classes as topological invariants of configuration space bundles2
Torsion models for tensor-triangulated categories: the one-step case2
Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces2
Topological finiteness properties of monoids, I: Foundations2
On the wheeled PROP of stable cohomology of Aut(Fn) with bivariant coefficients2
Extensions of finitely generated Veech groups2
Embedding calculus for surfaces2
A scanning algorithm for odd Khovanov homology2
Twisted spectra revisited2
On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3–manifolds2
The ????n-equivariant Euler characteristic of the moduli space of graphs2
Product and coproduct on fixed point Floer homology of positive Dehn twists2
Stable subgroups of the genus 2 handlebody group2
Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor2
Iterated traces in 2–categories and Lefschetz theorems2
New bounds on maximal linkless graphs2
Regluing graphs of free groups2
Computing the Morava K–theory of real Grassmannians using chromatic fixed point theory2
A topological construction of families of Galois covers of the line2
Equivariant preimage theory for G-maps2
Acylindrical hyperbolicity for Artin groups with a visual splitting2
Segalification and the Boardman–Vogt tensor product2
Enriched quasicategories and the templicial homotopy coherent nerve2
The Kakimizu complex for genus one hyperbolic knots in the 3-sphere2
Profinite isomorphisms and fixed-point properties2
Cubulating a free-product-by-cyclic group2
Parametrized higher category theory2
GKM manifolds are not rigid2
Ribbon 2–knot groups of Coxeter type2
Homological stability for the ribbon Higman–Thompson groups2
Special eccentricities of rational four-dimensional ellipsoids2
Surgery sequences and self-similarity of the Mandelbrot set2
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