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 2022-05-01 to 2026-05-01.)

Article	Citations
On étale hypercohomology of henselian regular local rings with values in $p$-adic étale Tate twists	8
The Margolis homology of the cohomology restriction from an extra-special group to its maximal elementary abelian subgroups	4
A(nother) model for the framed little disks operad	4
On a sequence of Grothendieck groups	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
Cohomology and $K$-theory rings of the space of commuting elements in <span class="cf0">$S U(2)$</span> <!--StartFragment --><!--EndFragment -->	2
Section complexes of simplicial height functions	2
Cyclic $A_\infty$-algebras and cyclic homology	2
Uniqueness of monoidal adjunctions	2
On invertible $2$-dimensional framed and $r$-spin topological field theories	2
Cobordism obstructions to complex sections	2
Hidden structures behind ambient symmetries of the Maurer-Cartan equation	2
A Wells-like exact sequence for abelian extensions of relative Rota–Baxter groups	1
On the topological $K$-theory of twisted equivariant perfect complexes	1
Rational circle-equivariant elliptic cohomology of CP(V)	1
Gottlieb groups of the wedge of some Moore spaces	1
On the cyclic homology of certain universal differential graded algebras	1
Lifespan functors and natural dualities in persistent homology	1
Limits via relations	1
Polynomial generators of $\mathbf{MSU}^\ast [1/2]$ related to classifying maps of certain formal group laws	1
Čech complexes of hypercube graphs	1
The algebraic stability for persistent Laplacians	1

A degree formula for equivariant cohomology rings	1
The homotopy-invariance of constructible sheaves	1
Simplicial $*$-modules and mild actions	1
A homotopy orbit spectrum for profinite groups	1
Diagrammatic sets as a model of homotopy types	1
The category of Silva spaces is not integral	1
The homotopy class of twisted $L_\infty$-morphisms	1
Monotone cohomologies and oriented matchings	1
On strict polynomial functors with bounded domain	1
The stable embedding tower and operadic structures on configuration spaces	1
Stable maps from closed surfaces to the 2-sphere	1
$K$-theory of real Grassmann manifolds	1
On the additivity of the little cubes operads	1
Comparing diagonals on the associahedra	1
Elmendorf's theorem for diagrams	1
On the number of Pfister forms and the symbol length of fields with finite square class number	1
Thom's counterexamples for the Steenrod problem	0
Magnitude, homology, and the Whitney twist	0
Extensions in Jacobian algebras via  punctured skein relations	0
Multicategories model all connective spectra	0
Haefliger’s approach for spherical knots modulo immersions	0
A note on Suslin matrices and Clifford algebras	0
Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$	0
The homotopy types of $Sp(n)$-gauge groups over $\mathbb{C}P^2$	0
Self-closeness numbers of non-simply-connected spaces	0
Graded $p$-polar rings and the homology of $\Omega^n \Sigma^n X$<br><br>	0
Coformality around fibrations and cofibrations	0
Configuration spaces of clusters as $E_d$-algebras	0
Abrams' stabilization theorem for no-$k$-equal configuration spaces on graphs	0
The homotopy solvability of compact Lie groups and homogenous topological spaces	0
Oda’s extension problem in the 33-stem homotopy group of the 6-sphere	0
An effective proof of the Cartan formula: odd primes	0
Homotopy characters as a homotopy limit	0
On the structure of equivariant formal group laws	0
An elementary proof of the chromatic Smith fixed point theorem	0
When Bousfield localizations and homotopy idempotent functors meet again	0
Complex orientations and $\mathrm{TP}$ of complete DVRs	0
Independence complexes of $(n \times 6)$-grid graphs	0
Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes	0
Erratum to “From loop groups to 2-groups”	0
The valuative section conjecture, étale homotopy, and Berkovich spaces	0
Extra structure on the cohomology of configuration spaces of closed orientable surfaces	0
Szczarba’s twisting cochain is comultiplicative	0
Dyer–Lashof operations as extensions of Brown–Gitler modules	0
A cohomological bundle theory for sheaf cohomology	0
André-Quillen cohomology and $k$-invariants of simplicial categories	0
The fundamental group of Galois covers of surfaces with octahedral envelope	0
The classifying space of the 1+1 dimensional $G$-cobordism category	0
Zig-zag modules: cosheaves and $k$-theory	0
Koszul duality in higher topoi	0

A $v_1$-banded vanishing line for the mod 2 Moore spectrum	0
The magnitude homology of a hypergraph	0
Unstable algebras over an operad II	0
Clique complexes of multigraphs, edge inflations, and tournaplexes	0
The structuring effect of a Gottlieb element on the Sullivan model of a space	0
Semi-prorepresentability of formal moduli problems and equivariant structures	0
$\infty$-categorical universal properties of quotients and localizations of $A_{\infty}$-categories	0
Cohomology of spaces of Hopf equivariant maps of spheres	0
On the group of self-homotopy equivalences of a 2-connected and 6-dimensional CW-complex	0
Intertwining category and complexity	0
$H \mathbb{F}_2$-synthetic homotopy groups of topological modular forms	0
A degree theorem for the simplicial closure of Auter Space	0
Stable equivariant complex cobordism of the symmetric group on three elements	0
Graded Lie structure on cohomology of some exact monoidal categories	0
On Postnikov completeness for replete topoi	0
Free colimit completion in $\infty$-categories	0
Local characterization of block-decomposability for multiparameter persistence modules	0
On bialgebras, comodules, descent data and Thom spectra in $\infty$-categories	0
On the cohomology of the classifying spaces of $SO(n)$-gauge groups over $S^2$	0
Compact Lie groups and complex reductive groups	0
The cohomology of free loop spaces of rank $2$ flag manifolds	0
Homotopy type of the independence complex of some categorical products of graphs	0
Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle	0
Algebraic groups of homotopy classes of automorphisms and operadic Koszul duality	0
A distributive lattice of model structures relating to spectral sequences	0
Remarks on the equivalence between differential graded categories and A-infinity categories	0
Classifying space via homotopy coherent nerve	0
The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$	0
Fiber integration of gerbes and Deligne line bundles	0
On finite domination and Poincaré duality	0
Limit theorems for critical faces above the vanishing threshold	0
Homology transfer products on free loop spaces: orientation reversal on spheres	0
On the cokernel of the Thom morphism for compact Lie groups	0
Derived universal Massey products	0
Weight 11 compactly supported cohomology of moduli spaces of curves in excess four	0
Intrinsic convergence of the homological Taylor tower for $r$-immersions in $\mathbb{R}^n$	0
Addendum to “Refinement invariance of intersection (co)homologies”	0
Self-closeness numbers of product spaces	0
A combinatorial $K$-theory perspective on the edge reconstruction conjecture in graph theory	0
The Euler characteristic of finite categories	0
On the log motivic stable homotopy groups	0
Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$	0
Relative weak global Gorenstein dimension, AB-contexts and model structures	0
The cohomology of the nilCoxeter algebra	0
LS-category and topological complexity of several families of fibre bundles	0
Mapping class groups of manifolds with boundary are of finite type	0
On the coformality of classifying spaces for fibrewise self-equivalences	0
E-infinity structure in hyperoctahedral homology	0
On certain homological invariants for weakly coherent rings	0
A category to classify compact Hausdorff spaces and finite spaces	0
Standard conjecture D for local stacky matrix factorizations	0