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 2021-04-01 to 2025-04-01.)

Article	Citations
The cohomology of free loop spaces of rank $2$ flag manifolds	8
Self-duality of the lattice of transfer systems via weak factorization systems	7
Complex orientations and $\mathrm{TP}$ of complete DVRs	6
On bialgebras, comodules, descent data and Thom spectra in $\infty$-categories	4
Bousfield–Segal spaces	3
Generalized persistence and graded structures	3
A(nother) model for the framed little disks operad	3
The homotopy class of twisted $L_\infty$-morphisms	2
Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes	2
The Margolis homology of the cohomology restriction from an extra-special group to its maximal elementary abelian subgroups	2
Monotone cohomologies and oriented matchings	2
Path homology of directed hypergraphs	2
Extra structure on the cohomology of configuration spaces of closed orientable surfaces	2
The algebraic stability for persistent Laplacians	2
Remarks on the equivalence between differential graded categories and A-infinity categories	2
Graphs associated to fold maps from closed surfaces to the projective plane	2
On the dimension of the mapping class groups of a non-orientable surface	2
Mapping class groups of manifolds with boundary are of finite type	2
On étale hypercohomology of henselian regular local rings with values in $p$-adic étale Tate twists	2
An upper bound on the topological complexity of discriminantal varieties	1
Haefliger’s approach for spherical knots modulo immersions	1
Algebraically cofibrant and fibrant objects revisited	1
Uniqueness of monoidal adjunctions	1
Graded Lie structure on cohomology of some exact monoidal categories	1
A category to classify compact Hausdorff spaces and finite spaces	1

Independence complexes of $(n \times 6)$-grid graphs	1
Classifying space via homotopy coherent nerve	1
Two theorems on cohomological pairings	1
Cellular sheaves of lattices and the Tarski Laplacian	1
Zig-zag modules: cosheaves and $k$-theory	1
On the convergence of the orthogonal spectral sequence	1
Cohomology of spaces of Hopf equivariant maps of spheres	1
On the number of Pfister forms and the symbol length of fields with finite square class number	1
On the cohomology of the classifying spaces of $SO(n)$-gauge groups over $S^2$	1
A degree formula for equivariant cohomology rings	1
Erratum to “From loop groups to 2-groups”	1
Compact Lie groups and complex reductive groups	1
On the coformality of classifying spaces for fibrewise self-equivalences	1
Szczarba’s twisting cochain is comultiplicative	1
Čech complexes of hypercube graphs	1
E-infinity structure in hyperoctahedral homology	1
Self-closeness numbers of non-simply-connected spaces	0
Intrinsic convergence of the homological Taylor tower for $r$-immersions in $\mathbb{R}^n$	0
A homotopy orbit spectrum for profinite groups	0
On the Picard group graded homotopy groups of a finite type two $K(2)$-local spectrum at the prime three	0
On the log motivic stable homotopy groups	0
An effective proof of the Cartan formula: odd primes	0
Multicategories model all connective spectra	0
Cartesian fibrations and representability	0
The structuring effect of a Gottlieb element on the Sullivan model of a space	0
Magnitude meets persistence: homology theories for filtered simplicial sets	0
Poincaré/Koszul duality for general operads	0
Non-commutative localisation and finite domination over strongly $\mathbb{Z}$-graded rings	0
Symmetric Hochschild cohomology of twisted group algebras	0
On generalized projective product spaces and Dold manifolds	0
Simplicial $*$-modules and mild actions	0
Relative $\mathbb{A}^1$-homology and its applications	0
The category of Silva spaces is not integral	0
A cohomological bundle theory for sheaf cohomology	0
Spectral sequences of a Morse shelling	0
LS-category and topological complexity of several families of fibre bundles	0
Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle	0
Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$	0
Hyperoctahedral homology for involutive algebras	0
Comparing diagonals on the associahedra	0
On invertible $2$-dimensional framed and $r$-spin topological field theories	0
Derived universal Massey products	0
Configuration spaces of clusters as $E_d$-algebras	0
Fiber integration of gerbes and Deligne line bundles	0
The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$	0
On strict polynomial functors with bounded domain	0
Semi-prorepresentability of formal moduli problems and equivariant structures	0
Locally dualizable modules abound	0
Magnitude, homology, and the Whitney twist	0
On the group of self-homotopy equivalences of a 2-connected and 6-dimensional CW-complex	0

André-Quillen cohomology and $k$-invariants of simplicial categories	0
Homotopy theory of spectral sequences	0
Cyclic $A_\infty$-algebras and cyclic homology	0
On Postnikov completeness for replete topoi	0
Hyperplane restrictions of indecomposable $n$-dimensional persistence modules	0
A Wells type exact sequence for non-degenerate unitary solutions of the Yang–Baxter equation	0
A degree theorem for the simplicial closure of Auter Space	0
Unstable algebras over an operad II	0
On the extension problem for weak moment maps	0
Stability of Loday constructions	0
Standard conjecture D for local stacky matrix factorizations	0
Realisability of the group of self-homotopy equivalences and local homotopy theory	0
Koszul duality in higher topoi	0
Limit theorems for critical faces above the vanishing threshold	0
Constructing coproducts in locally Cartesian closed $\infty$-categories	0
$1$-smooth pro-$p$ groups and Bloch–Kato pro-$p$ groups	0
Homology transfer products on free loop spaces: orientation reversal on spheres	0
Persistent homology with non-contractible preimages	0
Nondegenerate homotopy and geometric flows	0
Optimal colored Tverberg theorems for prime powers	0
Coformality around fibrations and cofibrations	0
An $R$-motivic $v_1$-self-map of periodicity $1$	0
Structure of semi-continuous $q$-tame persistence modules	0
On the string topology coproduct for Lie groups	0
$K$-theory of real Grassmann manifolds	0
The classifying space of the 1+1 dimensional $G$-cobordism category	0
Homotopy characters as a homotopy limit	0
A $v_1$-banded vanishing line for the mod 2 Moore spectrum	0
On finite domination and Poincaré duality	0
An elementary proof of the chromatic Smith fixed point theorem	0
Exponentials of non-singular simplicial sets	0
Reciprocity sheaves, II	0
On the topological $K$-theory of twisted equivariant perfect complexes	0
Homotopy type of the independence complex of some categorical products of graphs	0
The homotopy types of $SU(n)$-gauge groups over $S^{2m}$	0
The homotopy types of $Sp(n)$-gauge groups over $\mathbb{C}P^2$	0
The stable hull of an exact $\infty$-category	0
Lifespan functors and natural dualities in persistent homology	0
Polynomial generators of $\mathbf{MSU}^\ast [1/2]$ related to classifying maps of certain formal group laws	0
On cohomology in symmetric tensor categories in prime characteristic	0
The homotopy-invariance of constructible sheaves	0
When Bousfield localizations and homotopy idempotent functors meet again	0
The homotopy solvability of compact Lie groups and homogenous topological spaces	0
Rational circle-equivariant elliptic cohomology of CP(V)	0
Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$	0
The magnitude homology of a hypergraph	0
Stable equivariant complex cobordism of the symmetric group on three elements	0
The stable embedding tower and operadic structures on configuration spaces	0
Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties	0
Addendum to “Refinement invariance of intersection (co)homologies”	0
Self-closeness numbers of product spaces	0
Thom's counterexamples for the Steenrod problem	0