OOIR: Observatory of International Research

Papers

(The median citation count of Homology Homotopy and Applications 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 2021-05-01 to 2025-05-01.)

Article	Citations
On étale hypercohomology of henselian regular local rings with values in $p$-adic étale Tate twists	8
Generalized persistence and graded structures	7
A(nother) model for the framed little disks operad	6
The Margolis homology of the cohomology restriction from an extra-special group to its maximal elementary abelian subgroups	4
Algebraically cofibrant and fibrant objects revisited	3
Two theorems on cohomological pairings	3
Homotopy theory of spectral sequences	3
Locally dualizable modules abound	3
Constructing coproducts in locally Cartesian closed $\infty$-categories	2
Bousfield–Segal spaces	2
The homotopy-invariance of constructible sheaves	2
Simplicial $*$-modules and mild actions	2
Uniqueness of monoidal adjunctions	2
Cyclic $A_\infty$-algebras and cyclic homology	2
A degree formula for equivariant cohomology rings	2
$K$-theory of real Grassmann manifolds	2
Cellular sheaves of lattices and the Tarski Laplacian	2
On invertible $2$-dimensional framed and $r$-spin topological field theories	2
Optimal colored Tverberg theorems for prime powers	2
A homotopy orbit spectrum for profinite groups	2
Realisability of the group of self-homotopy equivalences and local homotopy theory	2
Čech complexes of hypercube graphs	1
Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle	1
Compact Lie groups and complex reductive groups	1
On strict polynomial functors with bounded domain	1

Rational circle-equivariant elliptic cohomology of CP(V)	1
On the topological $K$-theory of twisted equivariant perfect complexes	1
Polynomial generators of $\mathbf{MSU}^\ast [1/2]$ related to classifying maps of certain formal group laws	1
The homotopy class of twisted $L_\infty$-morphisms	1
Thom's counterexamples for the Steenrod problem	1
On cohomology in symmetric tensor categories in prime characteristic	1
Exponentials of non-singular simplicial sets	1
On the coformality of classifying spaces for fibrewise self-equivalences	1
The stable embedding tower and operadic structures on configuration spaces	1
Comparing diagonals on the associahedra	1
Path homology of directed hypergraphs	1
Lifespan functors and natural dualities in persistent homology	1
On the number of Pfister forms and the symbol length of fields with finite square class number	1
Multicategories model all connective spectra	1
A cohomological bundle theory for sheaf cohomology	1
The algebraic stability for persistent Laplacians	1
Monotone cohomologies and oriented matchings	1
Nondegenerate homotopy and geometric flows	1
The category of Silva spaces is not integral	1
Graphs associated to fold maps from closed surfaces to the projective plane	1
A Wells-like exact sequence for abelian extensions of relative Rota–Baxter groups	1
Intrinsic convergence of the homological Taylor tower for $r$-immersions in $\mathbb{R}^n$	0
Reciprocity sheaves, II	0
Erratum to “From loop groups to 2-groups”	0
Limit theorems for critical faces above the vanishing threshold	0
Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$	0
Unstable algebras over an operad II	0
On the extension problem for weak moment maps	0
When Bousfield localizations and homotopy idempotent functors meet again	0
Remarks on the equivalence between differential graded categories and A-infinity categories	0
On the dimension of the mapping class groups of a non-orientable surface	0
Independence complexes of $(n \times 6)$-grid graphs	0
Hyperplane restrictions of indecomposable $n$-dimensional persistence modules	0
On the convergence of the orthogonal spectral sequence	0
E-infinity structure in hyperoctahedral homology	0
The homotopy types of $SU(n)$-gauge groups over $S^{2m}$	0
Complex orientations and $\mathrm{TP}$ of complete DVRs	0
Graded Lie structure on cohomology of some exact monoidal categories	0
Structure of semi-continuous $q$-tame persistence modules	0
Homotopy type of the independence complex of some categorical products of graphs	0
Homotopy characters as a homotopy limit	0
On the Picard group graded homotopy groups of a finite type two $K(2)$-local spectrum at the prime three	0
An elementary proof of the chromatic Smith fixed point theorem	0
On the string topology coproduct for Lie groups	0
Symmetric Hochschild cohomology of twisted group algebras	0
The homotopy types of $Sp(n)$-gauge groups over $\mathbb{C}P^2$	0
The stable hull of an exact $\infty$-category	0
Extra structure on the cohomology of configuration spaces of closed orientable surfaces	0
Haefliger’s approach for spherical knots modulo immersions	0
The cohomology of free loop spaces of rank $2$ flag manifolds	0

On generalized projective product spaces and Dold manifolds	0
Free colimit completion in $\infty$-categories	0
Relative $\mathbb{A}^1$-homology and its applications	0
LS-category and topological complexity of several families of fibre bundles	0
$1$-smooth pro-$p$ groups and Bloch–Kato pro-$p$ groups	0
On the group of self-homotopy equivalences of a 2-connected and 6-dimensional CW-complex	0
Homology transfer products on free loop spaces: orientation reversal on spheres	0
A Wells type exact sequence for non-degenerate unitary solutions of the Yang–Baxter equation	0
On Postnikov completeness for replete topoi	0
André-Quillen cohomology and $k$-invariants of simplicial categories	0
Self-duality of the lattice of transfer systems via weak factorization systems	0
Cartesian fibrations and representability	0
On finite domination and Poincaré duality	0
An upper bound on the topological complexity of discriminantal varieties	0
Szczarba’s twisting cochain is comultiplicative	0
Derived universal Massey products	0
Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes	0
On the cohomology of the classifying spaces of $SO(n)$-gauge groups over $S^2$	0
Addendum to “Refinement invariance of intersection (co)homologies”	0
Non-commutative localisation and finite domination over strongly $\mathbb{Z}$-graded rings	0
Poincaré/Koszul duality for general operads	0
The homotopy solvability of compact Lie groups and homogenous topological spaces	0
On the log motivic stable homotopy groups	0
Koszul duality in higher topoi	0
Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$	0
Persistent homology with non-contractible preimages	0
A $v_1$-banded vanishing line for the mod 2 Moore spectrum	0
On bialgebras, comodules, descent data and Thom spectra in $\infty$-categories	0
Hyperoctahedral homology for involutive algebras	0
A category to classify compact Hausdorff spaces and finite spaces	0
Stability of Loday constructions	0
Self-closeness numbers of product spaces	0
Magnitude, homology, and the Whitney twist	0
Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties	0
Stable equivariant complex cobordism of the symmetric group on three elements	0
The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$	0
An effective proof of the Cartan formula: odd primes	0
Semi-prorepresentability of formal moduli problems and equivariant structures	0
The Euler characteristic of finite categories	0
Classifying space via homotopy coherent nerve	0
Mapping class groups of manifolds with boundary are of finite type	0
The structuring effect of a Gottlieb element on the Sullivan model of a space	0
Cohomology of spaces of Hopf equivariant maps of spheres	0
The classifying space of the 1+1 dimensional $G$-cobordism category	0
Configuration spaces of clusters as $E_d$-algebras	0
Standard conjecture D for local stacky matrix factorizations	0
Self-closeness numbers of non-simply-connected spaces	0
Zig-zag modules: cosheaves and $k$-theory	0
A degree theorem for the simplicial closure of Auter Space	0
Coformality around fibrations and cofibrations	0
Magnitude meets persistence: homology theories for filtered simplicial sets	0
An $R$-motivic $v_1$-self-map of periodicity $1$	0
The magnitude homology of a hypergraph	0
Fiber integration of gerbes and Deligne line bundles	0
Spectral sequences of a Morse shelling	0