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 2020-03-01 to 2024-03-01.)

Article	Citations
Linear motion planning with controlled collisions and pure planar braids	8
Local to global principles for generation time over commutative noetherian rings	7
Reciprocity sheaves, II	7
Self-duality of the lattice of transfer systems via weak factorization systems	6
The trace of the local $\mathbb{A}^1$-degree	5
(Co)homology self-closeness numbers of simply-connected spaces	5
Two-dimensional Golod complexes	4
Minimal models for monomial algebras	4
Cellular sheaves of lattices and the Tarski Laplacian	4
The operad that co-represents enrichment	3
Geometric approach to graph magnitude homology	3
Magnitude homology, diagonality, and median spaces	3
The local hyperbolicity of $\mathbf{A}_n^2$-complexes	3
$1$-smooth pro-$p$ groups and Bloch–Kato pro-$p$ groups	2
Biased permutative equivariant categories	2
Realisability of the group of self-homotopy equivalences and local homotopy theory	2
Higher structure in the unstable Adams spectral sequence	2
Cartesian fibrations and representability	2
A simplicial construction for noncommutative settings	2
Comparing the orthogonal and unitary functor calculi	2
Left Bousfield localization and Eilenberg–Moore categories	2
Magnitude meets persistence: homology theories for filtered simplicial sets	2
The Fulton–MacPherson operad and the $W$-construction	2
Flatness and Shipley’s algebraicization theorem	2
Algebraically cofibrant and fibrant objects revisited	2

A remark on the double complex of a covering for singular cohomology	2
A Wells type exact sequence for non-degenerate unitary solutions of the Yang–Baxter equation	1
Invariants for tame parametrised chain complexes	1
Stable equivariant complex cobordism of the symmetric group on three elements	1
Cohomology of the classifying spaces of $U(n)$-gauge groups over the 2-sphere	1
Nondegenerate homotopy and geometric flows	1
The homotopy type of the Baily–Borel and allied compactifications	1
Vector bundles and cohomotopies of $\operatorname{spin} 5$-manifolds	1
Generalized persistence and graded structures	1
Bousfield–Segal spaces	1
The $P^1_2$ margolis homology of connective topological modular forms	1
An $R$-motivic $v_1$-self-map of periodicity $1$	1
Symmetric Hochschild cohomology of twisted group algebras	1
On the string topology coproduct for Lie groups	1
Poincaré/Koszul duality for general operads	1
Hyperoctahedral homology for involutive algebras	1
Spectral sequences of a Morse shelling	1
Zig-zag modules: cosheaves and $k$-theory	1
Homotopy Gerstenhaber formality of Davis–Januszkiewicz spaces	1
Unstable algebras over an operad	1
When Bousfield localizations and homotopy idempotent functors meet again	1
On the extension problem for weak moment maps	1
Persistent homology with non-contractible preimages	1
On generalized projective product spaces and Dold manifolds	1
Stability of Loday constructions	1
Magnitude, homology, and the Whitney twist	1
Self-closeness numbers of non-simply-connected spaces	1
E-infinity structure in hyperoctahedral homology	1
Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes	1
Path homology of directed hypergraphs	1
A(nother) model for the framed little disks operad	0
On the topological $K$-theory of twisted equivariant perfect complexes	0
Exponentials of non-singular simplicial sets	0
Cyclic $A_\infty$-algebras and cyclic homology	0
On finite domination and Poincaré duality	0
The stable hull of an exact $\infty$-category	0
Multicategories model all connective spectra	0
Relative $\mathbb{A}^1$-homology and its applications	0
On invertible $2$-dimensional framed and $r$-spin topological field theories	0
Truncated derived functors and spectral sequences	0
Bredon cohomology of finite dimensional $C_p$-spaces	0
Classifying space via homotopy coherent nerve	0
$\mathbb{A}^1$-homotopy equivalences and a theorem of Whitehead	0
Haefliger’s approach for spherical knots modulo immersions	0
Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$	0
$K$-theory of real Grassmann manifolds	0
An upper bound on the topological complexity of discriminantal varieties	0
The structuring effect of a Gottlieb element on the Sullivan model of a space	0
Independence complexes of $(n \times 6)$-grid graphs	0
Koszul duality in higher topoi	0

Graphs associated to fold maps from closed surfaces to the projective plane	0
Strong version of Snake Lemma in exact categories	0
Gradient versus proper gradient homotopies	0
Erratum to “Properness and simplicial resolutions for the model category $\mathbf{dgCat}$”	0
The wedge family of the cohomology of the $\mathbb{C}$-motivic Steenrod algebra	0
Extra structure on the cohomology of configuration spaces of closed orientable surfaces	0
Self-closeness numbers of product spaces	0
Hyperplane restrictions of indecomposable $n$-dimensional persistence modules	0
An elementary proof of the chromatic Smith fixed point theorem	0
On the Picard group graded homotopy groups of a finite type two $K(2)$-local spectrum at the prime three	0
On cohomology in symmetric tensor categories in prime characteristic	0
Constructing coproducts in locally Cartesian closed $\infty$-categories	0
Non-commutative localisation and finite domination over strongly $\mathbb{Z}$-graded rings	0
Coformality around fibrations and cofibrations	0
The Tamarkin–Tsygan calculus of an associative algebra<i> à la</i> Stasheff	0
Monoids of self-maps of topological spherical space forms	0
Erratum to “From loop groups to 2-groups”	0
Refinement invariance of intersection (co)homologies	0
Two theorems on cohomological pairings	0
The homotopy types of $Sp(n)$-gauge groups over $\mathbb{C}P^2$	0
The homotopy-invariance of constructible sheaves	0
The equivariant fundamental groupoid as an orbifold invariant	0
On bialgebras, comodules, descent data and Thom spectra in $\infty$-categories	0
The category of Silva spaces is not integral	0
Gauge equivalence for complete $L_\infty$-algebras	0
Optimal colored Tverberg theorems for prime powers	0
Complex orientations and $\mathrm{TP}$ of complete DVRs	0
The homotopy solvability of compact Lie groups and homogenous topological spaces	0
Unstable algebras over an operad II	0
Erratum to “Small presentations of model categories and Vopěnka’s principle”	0
Homotopy theory of spectral sequences	0
Rigidification of dendroidal infinity-operads	0
The homotopy types of $SU(n)$-gauge groups over $S^{2m}$	0
The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$	0
Derived universal Massey products	0
Mapping algebras and the Adams spectral sequence	0
Structure of semi-continuous $q$-tame persistence modules	0
On strict polynomial functors with bounded domain	0
Homology of quantum linear groups	0
The classifying space of the 1+1 dimensional $G$-cobordism category	0
Polynomial generators of $\mathbf{MSU}^\ast [1/2]$ related to classifying maps of certain formal group laws	0
Lifespan functors and natural dualities in persistent homology	0
On the convergence of the orthogonal spectral sequence	0
Homology transfer products on free loop spaces: orientation reversal on spheres	0
A degree formula for equivariant cohomology rings	0
Fiber integration of gerbes and Deligne line bundles	0
The cohomology of free loop spaces of rank $2$ flag manifolds	0
Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$	0
On the dimension of the mapping class groups of a non-orientable surface	0
Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties	0