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
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
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
Relative weak global Gorenstein dimension, AB-contexts and model structures	0
On the cokernel of the Thom morphism for compact Lie groups	0
Intrinsic convergence of the homological Taylor tower for $r$-immersions in $\mathbb{R}^n$	0
LS-category and topological complexity of several families of fibre bundles	0
Self-closeness numbers of product spaces	0
The Euler characteristic of finite categories	0
E-infinity structure in hyperoctahedral homology	0
A category to classify compact Hausdorff spaces and finite spaces	0
Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$	0
Standard conjecture D for local stacky matrix factorizations	0
Magnitude, homology, and the Whitney twist	0
The cohomology of the nilCoxeter algebra	0
Extensions in Jacobian algebras via  punctured skein relations	0
Haefliger’s approach for spherical knots modulo immersions	0
Mapping class groups of manifolds with boundary are of finite type	0
A note on Suslin matrices and Clifford algebras	0
Self-closeness numbers of non-simply-connected spaces	0
On the coformality of classifying spaces for fibrewise self-equivalences	0
Graded $p$-polar rings and the homology of $\Omega^n \Sigma^n X$<br><br>	0
Configuration spaces of clusters as $E_d$-algebras	0
On certain homological invariants for weakly coherent rings	0
Abrams' stabilization theorem for no-$k$-equal configuration spaces on graphs	0
Oda’s extension problem in the 33-stem homotopy group of the 6-sphere	0
Thom's counterexamples for the Steenrod problem	0
Homotopy characters as a homotopy limit	0
Multicategories model all connective spectra	0
Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$	0
An elementary proof of the chromatic Smith fixed point theorem	0
The homotopy types of $Sp(n)$-gauge groups over $\mathbb{C}P^2$	0
Coformality around fibrations and cofibrations	0
Complex orientations and $\mathrm{TP}$ of complete DVRs	0
The homotopy solvability of compact Lie groups and homogenous topological spaces	0
An effective proof of the Cartan formula: odd primes	0
Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes	0

Extra structure on the cohomology of configuration spaces of closed orientable surfaces	0
On the structure of equivariant formal group laws	0
Szczarba’s twisting cochain is comultiplicative	0
A cohomological bundle theory for sheaf cohomology	0
When Bousfield localizations and homotopy idempotent functors meet again	0
André-Quillen cohomology and $k$-invariants of simplicial categories	0
The classifying space of the 1+1 dimensional $G$-cobordism category	0
Independence complexes of $(n \times 6)$-grid graphs	0
Zig-zag modules: cosheaves and $k$-theory	0
A $v_1$-banded vanishing line for the mod 2 Moore spectrum	0
Erratum to “From loop groups to 2-groups”	0
The magnitude homology of a hypergraph	0
The structuring effect of a Gottlieb element on the Sullivan model of a space	0
The valuative section conjecture, étale homotopy, and Berkovich spaces	0
Semi-prorepresentability of formal moduli problems and equivariant structures	0
Cohomology of spaces of Hopf equivariant maps of spheres	0
Dyer–Lashof operations as extensions of Brown–Gitler modules	0
Intertwining category and complexity	0
The fundamental group of Galois covers of surfaces with octahedral envelope	0
A degree theorem for the simplicial closure of Auter Space	0
Koszul duality in higher topoi	0
Unstable algebras over an operad II	0
Graded Lie structure on cohomology of some exact monoidal categories	0
Clique complexes of multigraphs, edge inflations, and tournaplexes	0
$\infty$-categorical universal properties of quotients and localizations of $A_{\infty}$-categories	0
Free colimit completion in $\infty$-categories	0
On the group of self-homotopy equivalences of a 2-connected and 6-dimensional CW-complex	0
$H \mathbb{F}_2$-synthetic homotopy groups of topological modular forms	0
On the cohomology of the classifying spaces of $SO(n)$-gauge groups over $S^2$	0
The cohomology of free loop spaces of rank $2$ flag manifolds	0
Stable equivariant complex cobordism of the symmetric group on three elements	0
Homotopy type of the independence complex of some categorical products of graphs	0
Algebraic groups of homotopy classes of automorphisms and operadic Koszul duality	0
On Postnikov completeness for replete topoi	0
A distributive lattice of model structures relating to spectral sequences	0
Classifying space via homotopy coherent nerve	0
Local characterization of block-decomposability for multiparameter persistence modules	0
The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$	0
On finite domination and Poincaré duality	0
On bialgebras, comodules, descent data and Thom spectra in $\infty$-categories	0
Limit theorems for critical faces above the vanishing threshold	0
Derived universal Massey products	0
Compact Lie groups and complex reductive groups	0
Weight 11 compactly supported cohomology of moduli spaces of curves in excess four	0
Addendum to “Refinement invariance of intersection (co)homologies”	0
Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle	0
A combinatorial $K$-theory perspective on the edge reconstruction conjecture in graph theory	0
Remarks on the equivalence between differential graded categories and A-infinity categories	0
On the log motivic stable homotopy groups	0
Fiber integration of gerbes and Deligne line bundles	0
Homology transfer products on free loop spaces: orientation reversal on spheres	0