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 2021-11-01 to 2025-11-01.)

Article	Citations
On étale hypercohomology of henselian regular local rings with values in $p$-adic étale Tate twists	10
Generalized persistence and graded structures	8
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	5
Locally dualizable modules abound	4
Two theorems on cohomological pairings	4
Algebraically cofibrant and fibrant objects revisited	4
On invertible $2$-dimensional framed and $r$-spin topological field theories	3
Section complexes of simplicial height functions	3
Uniqueness of monoidal adjunctions	3
Constructing coproducts in locally Cartesian closed $\infty$-categories	3
Cohomology and $K$-theory rings of the space of commuting elements in <span class="cf0">$S U(2)$</span> <!--StartFragment --><!--EndFragment -->	3
Optimal colored Tverberg theorems for prime powers	3
Homotopy theory of spectral sequences	3
Cyclic $A_\infty$-algebras and cyclic homology	3
Bousfield–Segal spaces	3
Realisability of the group of self-homotopy equivalences and local homotopy theory	2
Rational circle-equivariant elliptic cohomology of CP(V)	2
A degree formula for equivariant cohomology rings	2
A homotopy orbit spectrum for profinite groups	2
Lifespan functors and natural dualities in persistent homology	2
$K$-theory of real Grassmann manifolds	2
Cellular sheaves of lattices and the Tarski Laplacian	2
Simplicial $*$-modules and mild actions	2
The homotopy-invariance of constructible sheaves	2

On the cyclic homology of certain universal differential graded algebras	2
Graphs associated to fold maps from closed surfaces to the projective plane	1
Polynomial generators of $\mathbf{MSU}^\ast [1/2]$ related to classifying maps of certain formal group laws	1
Nondegenerate homotopy and geometric flows	1
The category of Silva spaces is not integral	1
On the coformality of classifying spaces for fibrewise self-equivalences	1
The homotopy types of $Sp(n)$-gauge groups over $\mathbb{C}P^2$	1
Fiber integration of gerbes and Deligne line bundles	1
A cohomological bundle theory for sheaf cohomology	1
Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle	1
A Wells-like exact sequence for abelian extensions of relative Rota–Baxter groups	1
On the number of Pfister forms and the symbol length of fields with finite square class number	1
Path homology of directed hypergraphs	1
On the topological $K$-theory of twisted equivariant perfect complexes	1
The stable embedding tower and operadic structures on configuration spaces	1
Compact Lie groups and complex reductive groups	1
Remarks on the equivalence between differential graded categories and A-infinity categories	1
Persistent homology with non-contractible preimages	1
Koszul duality in higher topoi	1
Thom's counterexamples for the Steenrod problem	1
Exponentials of non-singular simplicial sets	1
Monotone cohomologies and oriented matchings	1
The homotopy class of twisted $L_\infty$-morphisms	1
Comparing diagonals on the associahedra	1
On the additivity of the little cubes operads	1
The algebraic stability for persistent Laplacians	1
On the string topology coproduct for Lie groups	1
On the cokernel of the Thom morphism for compact Lie groups	1
On strict polynomial functors with bounded domain	1
An $R$-motivic $v_1$-self-map of periodicity $1$	1
Multicategories model all connective spectra	1
On cohomology in symmetric tensor categories in prime characteristic	1
Čech complexes of hypercube graphs	1
An elementary proof of the chromatic Smith fixed point theorem	0
On the log motivic stable homotopy groups	0
$1$-smooth pro-$p$ groups and Bloch–Kato pro-$p$ groups	0
Magnitude meets persistence: homology theories for filtered simplicial sets	0
The cohomology of free loop spaces of rank $2$ flag manifolds	0
Self-closeness numbers of non-simply-connected spaces	0
An effective proof of the Cartan formula: odd primes	0
Limit theorems for critical faces above the vanishing threshold	0
On the structure of equivariant formal group laws	0
Independence complexes of $(n \times 6)$-grid graphs	0
Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties	0
$\infty$-categorical universal properties of quotients and localizations of $A_{\infty}$-categories	0
Graded Lie structure on cohomology of some exact monoidal categories	0
On the extension problem for weak moment maps	0
Self-closeness numbers of product spaces	0
The classifying space of the 1+1 dimensional $G$-cobordism category	0
Self-duality of the lattice of transfer systems via weak factorization systems	0

Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$	0
On the Picard group graded homotopy groups of a finite type two $K(2)$-local spectrum at the prime three	0
On the convergence of the orthogonal spectral sequence	0
The homotopy solvability of compact Lie groups and homogenous topological spaces	0
Standard conjecture D for local stacky matrix factorizations	0
Haefliger’s approach for spherical knots modulo immersions	0
Spectral sequences of a Morse shelling	0
The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$	0
Structure of semi-continuous $q$-tame persistence modules	0
Reciprocity sheaves, II	0
Relative weak global Gorenstein dimension, AB-contexts and model structures	0
Poincaré/Koszul duality for general operads	0
Free colimit completion in $\infty$-categories	0
Extra structure on the cohomology of configuration spaces of closed orientable surfaces	0
On generalized projective product spaces and Dold manifolds	0
A category to classify compact Hausdorff spaces and finite spaces	0
Addendum to “Refinement invariance of intersection (co)homologies”	0
Relative $\mathbb{A}^1$-homology and its applications	0
Symmetric Hochschild cohomology of twisted group algebras	0
Graded $p$-polar rings and the homology of $\Omega^n \Sigma^n X$<br><br>	0
Unstable algebras over an operad II	0
Mapping class groups of manifolds with boundary are of finite type	0
A Wells type exact sequence for non-degenerate unitary solutions of the Yang–Baxter equation	0
Intrinsic convergence of the homological Taylor tower for $r$-immersions in $\mathbb{R}^n$	0
Zig-zag modules: cosheaves and $k$-theory	0
Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes	0
Cartesian fibrations and representability	0
On Postnikov completeness for replete topoi	0
Semi-prorepresentability of formal moduli problems and equivariant structures	0
Homology transfer products on free loop spaces: orientation reversal on spheres	0
Homotopy type of the independence complex of some categorical products of graphs	0
Classifying space via homotopy coherent nerve	0
Stability of Loday constructions	0
André-Quillen cohomology and $k$-invariants of simplicial categories	0
A $v_1$-banded vanishing line for the mod 2 Moore spectrum	0
Derived universal Massey products	0
The magnitude homology of a hypergraph	0
A combinatorial $K$-theory perspective on the edge reconstruction conjecture in graph theory	0
The structuring effect of a Gottlieb element on the Sullivan model of a space	0
A degree theorem for the simplicial closure of Auter Space	0
Stable equivariant complex cobordism of the symmetric group on three elements	0
Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$	0
On bialgebras, comodules, descent data and Thom spectra in $\infty$-categories	0
Homotopy characters as a homotopy limit	0
Erratum to “From loop groups to 2-groups”	0
Hyperplane restrictions of indecomposable $n$-dimensional persistence modules	0
Magnitude, homology, and the Whitney twist	0
When Bousfield localizations and homotopy idempotent functors meet again	0
On finite domination and Poincaré duality	0
Coformality around fibrations and cofibrations	0
Algebraic groups of homotopy classes of automorphisms and operadic Koszul duality	0
LS-category and topological complexity of several families of fibre bundles	0
On the group of self-homotopy equivalences of a 2-connected and 6-dimensional CW-complex	0
Szczarba’s twisting cochain is comultiplicative	0
Complex orientations and $\mathrm{TP}$ of complete DVRs	0
The Euler characteristic of finite categories	0
On the cohomology of the classifying spaces of $SO(n)$-gauge groups over $S^2$	0
Cohomology of spaces of Hopf equivariant maps of spheres	0
Hyperoctahedral homology for involutive algebras	0
Non-commutative localisation and finite domination over strongly $\mathbb{Z}$-graded rings	0
An upper bound on the topological complexity of discriminantal varieties	0
The homotopy types of $SU(n)$-gauge groups over $S^{2m}$	0
A distributive lattice of model structures relating to spectral sequences	0
On the dimension of the mapping class groups of a non-orientable surface	0
Configuration spaces of clusters as $E_d$-algebras	0
E-infinity structure in hyperoctahedral homology	0
Oda’s extension problem in the 33-stem homotopy group of the 6-sphere	0
The stable hull of an exact $\infty$-category	0