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 2021-08-01 to 2025-08-01.)
ArticleCitations
The multiplicative structures on motivic homotopy groups12
Quasi-isometric rigidity of subgroups and filtered ends10
On some p–differential graded link homologies, II9
Moduli space of nonnegatively curved metrics on manifolds of dimension 4k + 18
Correction to the article Hopf ring structure on the mod p cohomology of symmetric groups7
Homotopy types of suspended 4–manifolds7
Powers of Dehn twists generating right-angled Artin groups6
Nonslice linear combinations of iterated torus knots6
Geometrically bounding 3–manifolds, volume and Betti numbers6
A connection between cut locus, Thom space and Morse–Bott functions6
Geometric limits of cyclic subgroups of SO0(1,k + 1) and SU(1,k + 1)6
The handlebody group and the images of the second Johnson homomorphism6
Chow–Witt rings of Grassmannians6
The space of nonextendable quasimorphisms5
Index-bounded relative symplectic cohomology5
5
Fourier transforms and integer homology cobordism5
Slice genus bound in DTS2 from s–invariant5
On k-invariants for (∞,n)-categories5
Configurations of noncollinear points in the projective plane5
The topological slice genus of satellite knots4
On keen weakly reducible bridge spheres4
4
Homotopy classification of 4–manifolds whose fundamental group is dihedral4
The Hurewicz theorem in homotopy type theory4
2–Segal objects and the Waldhausen construction4
Convexity in hierarchically hyperbolic spaces4
Loop homotopy of 6–manifolds over 4–manifolds4
Steenrod problem and some graded Stanley–Reisner rings4
Nielsen equivalence in Fuchsian groups4
Unstable modules with only the top k Steenrod operations4
Picard groups and duality for real Morava E–theories4
Projection complexes and quasimedian maps3
Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary3
Sequential parametrized topological complexity and related invariants3
On symplectic fillings of small Seifert 3–manifolds3
3
A basis for the Kauffman skein module of the product of a surface and a circle3
Finite presentations for stated skein algebras and lattice gauge field theory3
Module structure of the homology of right-angled Artin kernels3
Analytic approach to S1–equivariant Morse inequalities3
ℤk–stratifolds3
Rigidification of cubical quasicategories3
Free and based path groupoids3
A Leray–Serre spectral sequence for Lagrangian Floer theory3
Generalized Long–Moody functors3
Smallest nonabelian quotients of surface braid groups3
Projective naturality in Heegaard Floer homology3
2
Wall-crossing from Lagrangian cobordisms2
Milnor–Witt motivic cohomology of complements of hyperplane arrangements2
External Spanier–Whitehead duality and homology representation theorems for diagram spaces2
Persistently foliar composite knots2
No homotopy 4–sphere invariants using ECH=SWF2
Vector fields on noncompact manifolds2
Geometric triangulations of a family of hyperbolic 3–braids2
Complex hypersurfaces in direct products of Riemann surfaces2
The minimal genus of homology classes in a finite 2–complex2
On the positivity of twisted L2–torsion for 3–manifolds2
Bounded cohomology of classifying spaces for families of subgroups2
Geodesics in the mapping class group2
On the wheeled PROP of stable cohomology of Aut(Fn) with bivariant coefficients2
On finitely generated normal subgroups of Kähler groups2
The homotopy type of elliptic arrangements2
Hyperbolic groups with logarithmic separation profile2
Branched covers bounding rational homology balls2
Splitting Madsen–Tillmann spectra, II : The Steinberg idempotents and Whitehead conjecture2
The rank filtration via a filtered bar construction2
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3–manifolds2
Circular-orderability of 3-manifold groups2
Computing the Morava K–theory of real Grassmannians using chromatic fixed point theory2
Cohomological and geometric invariants of simple complexes of groups2
Finite presentations of the mapping class groups of once-stabilized Heegaard splittings2
Rigidity at infinity for the Borel function of the tetrahedral reflection lattice2
Chromatic (co)homology of finite general linear groups2
Morse–Bott cohomology from homological perturbation theory2
2
Asymptotic dimension of graphs of groups and one-relator groups2
On the involutive Heegaard Floer homology of negative semidefinite plumbed 3-manifolds with b1= 12
Equivariant fundamental classes in RO(C2)–graded cohomology with ℤ∕2–coefficients2
The Kakimizu complex for genus one hyperbolic knots in the 3-sphere2
Coxeter systems with 2–dimensional Davis complexes, growth rates and Perron numbers2
Cubulating a free-product-by-cyclic group2
Combinatorial proof of Maslov index formula in Heegaard Floer theory2
Infinitely many arithmetic alternating links2
On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3–manifolds2
2
Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor2
Hierarchical hyperbolicity of graphs of multicurves2
Ascent concordance2
Embedding calculus for surfaces2
Smooth constructions of homotopy-coherent actions2
Formal contact categories2
GKM manifolds are not rigid2
Barcode embeddings for metric graphs2
Planar Legendrian graphs2
Mod 2 power operations revisited2
The Burau representation and shapes of polyhedra2
The strong Haken theorem via sphere complexes2
Height four formal groups with quadratic complex multiplication2
Geometric triangulations and highly twisted links2
Classifying spaces of infinity-sheaves2
Bigrading the symplectic Khovanov cohomology2
Stable subgroups of the genus 2 handlebody group1
Right-angled Artin subgroups of right-angled Coxeter and Artin groups1
????–compactifiable manifolds which are not pseudocollarable1
What are GT–shadows ?1
Colored Jones polynomials without tails1
Geodesic complexity of homogeneous Riemannian manifolds1
Parametrized higher category theory1
A generalization of moment-angle manifolds with noncontractible orbit spaces1
Presentations of the Roger–Yang generalized skein algebra1
Constrained knots in lens spaces1
Invariance of immersed Floer cohomology under Maslov flows1
Ribbon 2–knot groups of Coxeter type1
Symmetric homotopy theory for operads1
An explicit comparison between 2–complicial sets and Θ2–spaces1
Realising π∗eR–algebras by global ring spectra1
Equivariantly slicing strongly negative amphichiral knots1
The Alexandrov theorem for 2 + 1 flat radiant spacetimes1
On the invariance of the Dowlin spectral sequence1
Homological polynomial coefficients and the twist number of alternating surface links1
The Heisenberg double of involutory Hopf algebras and invariants of closed 3–manifolds1
Macroscopic band width inequalities1
Dimension of representation and character varieties for two- and three-orbifolds1
Slope norm and an algorithm to compute the crosscap number1
Mapping class groups of surfaces with noncompact boundary components1
Hamiltonian classification of toric fibres and symmetric probes1
Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization1
On the functoriality of ????????2 tangle homology1
An embedding of the Morse boundary in the Martin boundary1
Actions of solvable Baumslag–Solitar groups on hyperbolic metric spaces1
Pushouts of Dwyer maps are (∞,1)–categorical1
Verdier duality on conically smooth stratified spaces1
1
Homological stability for moduli spaces of disconnected submanifolds, I1
Closed subsets of a CAT(0) 2–complex are intrinsically CAT(0)1
Augmentations and link group representations1
Turning vector bundles1
On homotopy groups of EChG24∧A11
A topological construction of families of Galois covers of the line1
Unchaining surgery, branched covers, and pencils on elliptic surfaces1
Enriched quasicategories and the templicial homotopy coherent nerve1
Profinite isomorphisms and fixed-point properties1
Asymptotic behavior of the colored Jones polynomials and Turaev–Viro invariants of the figure eight knot1
Filling braided links with trisected surfaces1
Classification of torus bundles that bound rational homology circles1
Configuration spaces of squares in a rectangle1
Extension DGAs and topological Hochschild homology1
Alternative versions of the Johnson homomorphisms and the LMO functor1
The diameter of random Belyĭ surfaces1
Projective modules and the homotopy classification of (G,n)–complexes1
Torsion models for tensor-triangulated categories: the one-step case1
1
Generalizing quasicategories via model structures on simplicial sets1
The bridge number of arborescent links with many twigs1
A model for configuration spaces of points1
Simple embeddings of rational homology balls and antiflips1
1
Discontinuous motions of limit sets1
The real-oriented cohomology of infinite stunted projective spaces1
Coloring invariants of knots and links are often intractable1
Bialgebraic approach to rack cohomology1
Moduli spaces of geometric graphs1
Relations amongst twists along Montesinos twins in the 4-sphere1
Milnor invariants of braids and welded braids up to homotopy1
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
Annular Khovanov homology and augmented links1
Homotopy types of gauge groups over Riemann surfaces1
Two-dimensional extended homotopy field theories1
A bivariant Yoneda lemma and (∞,2)–categories of correspondences1
The existence of a universal transverse knot1
Special eccentricities of rational four-dimensional ellipsoids1
Trisections of 3–manifold bundles over S11
Embedding closed hyperbolic 3–manifolds in small volume hyperbolic 4–manifolds1
Connective models for topological modular forms of level n1
A scanning algorithm for odd Khovanov homology1
Bridge trisections and Seifert solids1
Higher homotopy invariants for spaces and maps1
An analogue of Milnor’s invariants for knots in 3–manifolds1
Alternating links with totally geodesic checkerboard surfaces1
Topological finiteness properties of monoids, I: Foundations1
Free algebras through Day convolution1
On the cohomology ring of symplectic fillings1
1
Iterated traces in 2–categories and Lefschetz theorems1
An algorithmic definition of Gabai width1
Weave-realizability for D–type1
Subgroups of direct products of limit groups over Droms RAAGs1
Regluing graphs of free groups1
Leighton’s theorem and regular cube complexes1
Chern character for infinity vector bundles1
The H????2–homology of C2–equivariant Eilenberg–Mac Lane spaces1
Differential geometric invariants for time-reversal symmetric Bloch bundles, II : The low-dimensional “quaternionic” case1
Definition of the cord algebra of knots using Morse thoery1
Classifying rational G–spectra for profinite G1
The localization spectral sequence in the motivic setting1
New bounds on maximal linkless graphs1
Morse elements in Garside groups are strongly contracting1
Maximal knotless graphs1
1
Rectification of interleavings and a persistent Whitehead theorem1
On measurings of algebras over operads and homology theories1
The localization of orthogonal calculus with respect to homology1
On unknotting tunnel systems of satellite chain links1
Upper bounds for the Lagrangian cobordism relation on Legendrian links1
An exotic presentation of ℤ × ℤ and the Andrews–Curtis conjecture1
A uniformizable spherical CR structure on a two-cusped hyperbolic 3–manifold1
Relative Khovanov–Jacobsson classes1
On the secondary Upsilon invariant1
Minimal surfaces with arbitrary topology in ℍ2× ℝ1
Handlebody bundles and polytopes1
Presentations for cusped arithmetic hyperbolic lattices1
Augmentations and ruling polynomials for Legendrian graphs1
A concave holomorphic filling of an overtwisted contact 3–sphere0
Loxodromic elements in big mapping class groups via the Hooper–Thurston–Veech construction0
Spectral diameter of Liouville domains0
Random Artin groups0
Distinguishing Legendrian knots with trivial orientation-preserving symmetry group0
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Intrinsic symmetry groups of links0
0
Combinatorial N∞ operads0
A Levine–Tristram invariant for knotted tori0
Localization of a KO∗(pt)-valued index and the orientability of the Pin−(2) monopole moduli space0
The Devinatz–Hopkins theorem via algebraic geometry0
Efficient multisections of odd-dimensional tori0
The realization problem for noninteger Seifert fibered surgeries0
Adequate links in thickened surfaces and the generalized Tait conjectures0
Foliated open books0
Round fold maps on 3–manifolds0
Smooth one-dimensional topological field theories are vector bundles with connection0
Topology and geometry of flagness and beltness of simple handlebodies0
An example of higher-dimensional Heegaard Floer homology0
Anosov flows and Liouville pairs in dimension three0
Admissible replacements for simplicial monoidal model categories0
On a nonorientable analogue of the Milnor conjecture0
Nonorientable link cobordisms and torsion order in Floer homologies0
Cartesian fibrations of (∞,2)–categories0
0
A–infinity algebras, strand algebras, and contact categories0
A qualitative description of the horoboundary of the Teichmüller metric0
A vanishing identity of adjoint Reidemeister torsions of twist knots0
Infinite families of higher torsion in the homotopy groups of Moore spaces0
A mnemonic for the Lipshitz–Ozsváth–Thurston correspondence0
Extendable periodic automorphisms of closed surfaces over the 3–sphere0
Invertible braided tensor categories0
Equivariant cohomology and the super reciprocal plane of a hyperplane arrangement0
The shape of the filling-systole subspace in surface moduli space and critical points of the systole function0
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