Homology Homotopy and Applications

Article	Citations
Linear motion planning with controlled collisions and pure planar braids	10
Local to global principles for generation time over commutative noetherian rings	8
Reciprocity sheaves, II	7
Self-duality of the lattice of transfer systems via weak factorization systems	7
Cellular sheaves of lattices and the Tarski Laplacian	6
The local hyperbolicity of $\mathbf{A}_n^2$-complexes	5
(Co)homology self-closeness numbers of simply-connected spaces	5
The trace of the local $\mathbb{A}^1$-degree	5
Minimal models for monomial algebras	4
Comparing the orthogonal and unitary functor calculi	4
Cartesian fibrations and representability	4
Two-dimensional Golod complexes	4
The operad that co-represents enrichment	4
The Fulton–MacPherson operad and the $W$-construction	3
Magnitude homology, diagonality, and median spaces	3
Realisability of the group of self-homotopy equivalences and local homotopy theory	3
Geometric approach to graph magnitude homology	3
Structure of semi-continuous $q$-tame persistence modules	3
Algebraically cofibrant and fibrant objects revisited	3
Magnitude meets persistence: homology theories for filtered simplicial sets	2
$1$-smooth pro-$p$ groups and Bloch–Kato pro-$p$ groups	2
Cohomology of the classifying spaces of $U(n)$-gauge groups over the 2-sphere	2
Hyperoctahedral homology for involutive algebras	2
E-infinity structure in hyperoctahedral homology	2
A remark on the double complex of a covering for singular cohomology	2

Persistent homology with non-contractible preimages	2
Poincaré/Koszul duality for general operads	2
On generalized projective product spaces and Dold manifolds	2
A simplicial construction for noncommutative settings	2
Higher structure in the unstable Adams spectral sequence	2
Left Bousfield localization and Eilenberg–Moore categories	2
An $R$-motivic $v_1$-self-map of periodicity $1$	2
On cohomology in symmetric tensor categories in prime characteristic	2
Biased permutative equivariant categories	2
Flatness and Shipley’s algebraicization theorem	2
Homotopy Gerstenhaber formality of Davis–Januszkiewicz spaces	2
The homotopy-invariance of constructible sheaves	1
Zig-zag modules: cosheaves and $k$-theory	1
Generalized persistence and graded structures	1
The homotopy types of $Sp(n)$-gauge groups over $\mathbb{C}P^2$	1
When Bousfield localizations and homotopy idempotent functors meet again	1
An elementary proof of the chromatic Smith fixed point theorem	1
The stable hull of an exact $\infty$-category	1
Nondegenerate homotopy and geometric flows	1
Self-closeness numbers of non-simply-connected spaces	1
Vector bundles and cohomotopies of $\operatorname{spin} 5$-manifolds	1
Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes	1
On bialgebras, comodules, descent data and Thom spectra in $\infty$-categories	1
A Wells type exact sequence for non-degenerate unitary solutions of the Yang–Baxter equation	1
On the extension problem for weak moment maps	1
On the string topology coproduct for Lie groups	1
Derived universal Massey products	1
The homotopy type of the Baily–Borel and allied compactifications	1
Magnitude, homology, and the Whitney twist	1
Spectral sequences of a Morse shelling	1
Bousfield–Segal spaces	1
The $P^1_2$ margolis homology of connective topological modular forms	1
Invariants for tame parametrised chain complexes	1
Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$	1
Stability of Loday constructions	1
The stable embedding tower and operadic structures on configuration spaces	1
The structuring effect of a Gottlieb element on the Sullivan model of a space	1
Uniqueness of monoidal adjunctions	0
Multicategories model all connective spectra	0
The algebraic stability for persistent Laplacians	0
On the coformality of classifying spaces for fibrewise self-equivalences	0
Configuration spaces of clusters as $E_d$-algebras	0
Independence complexes of $(n \times 6)$-grid graphs	0
Fiber integration of gerbes and Deligne line bundles	0
On invertible $2$-dimensional framed and $r$-spin topological field theories	0
On the dimension of the mapping class groups of a non-orientable surface	0
The equivariant fundamental groupoid as an orbifold invariant	0
Comparing diagonals on the associahedra	0
Homology of quantum linear groups	0
Graphs associated to fold maps from closed surfaces to the projective plane	0

Strong version of Snake Lemma in exact categories	0
Rational circle-equivariant elliptic cohomology of CP(V)	0
Unstable algebras over an operad	0
The category of Silva spaces is not integral	0
Exponentials of non-singular simplicial sets	0
A degree theorem for the simplicial closure of Auter Space	0
Truncated derived functors and spectral sequences	0
Cyclic $A_\infty$-algebras and cyclic homology	0
Szczarba’s twisting cochain is comultiplicative	0
Non-commutative localisation and finite domination over strongly $\mathbb{Z}$-graded rings	0
Compact Lie groups and complex reductive groups	0
Homology transfer products on free loop spaces: orientation reversal on spheres	0
Self-closeness numbers of product spaces	0
Haefliger’s approach for spherical knots modulo immersions	0
Hyperplane restrictions of indecomposable $n$-dimensional persistence modules	0
Homotopy characters as a homotopy limit	0
Simplicial $*$-modules and mild actions	0
Bredon cohomology of finite dimensional $C_p$-spaces	0
Monotone cohomologies and oriented matchings	0
Cohomology of spaces of Hopf equivariant maps of spheres	0
Monoids of self-maps of topological spherical space forms	0
The Margolis homology of the cohomology restriction from an extra-special group to its maximal elementary abelian subgroups	0
Graded Lie structure on cohomology of some exact monoidal categories	0
Addendum to “Refinement invariance of intersection (co)homologies”	0
Remarks on the equivalence between differential graded categories and A-infinity categories	0
Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties	0
Constructing coproducts in locally Cartesian closed $\infty$-categories	0
Path homology of directed hypergraphs	0
A degree formula for equivariant cohomology rings	0
Stable equivariant complex cobordism of the symmetric group on three elements	0
The magnitude homology of a hypergraph	0
A(nother) model for the framed little disks operad	0
Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$	0
$K$-theory of real Grassmann manifolds	0
Complex orientations and $\mathrm{TP}$ of complete DVRs	0
Polynomial generators of $\mathbf{MSU}^\ast [1/2]$ related to classifying maps of certain formal group laws	0
On the Picard group graded homotopy groups of a finite type two $K(2)$-local spectrum at the prime three	0
The homotopy solvability of compact Lie groups and homogenous topological spaces	0
Mapping algebras and the Adams spectral sequence	0
Rigidification of dendroidal infinity-operads	0
On the convergence of the orthogonal spectral sequence	0
The homotopy types of $SU(n)$-gauge groups over $S^{2m}$	0
A homotopy orbit spectrum for profinite groups	0
The wedge family of the cohomology of the $\mathbb{C}$-motivic Steenrod algebra	0
Semi-prorepresentability of formal moduli problems and equivariant structures	0
The Tamarkin–Tsygan calculus of an associative algebra<i> à la</i> Stasheff	0
A cohomological bundle theory for sheaf cohomology	0
Erratum to “From loop groups to 2-groups”	0
Homotopy type of the independence complex of some categorical products of graphs	0
$\mathbb{A}^1$-homotopy equivalences and a theorem of Whitehead	0
On étale hypercohomology of henselian regular local rings with values in $p$-adic étale Tate twists	0
On the cohomology of the classifying spaces of $SO(n)$-gauge groups over $S^2$	0
The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$	0
Gauge equivalence for complete $L_\infty$-algebras	0
LS-category and topological complexity of several families of fibre bundles	0
Coformality around fibrations and cofibrations	0
Extra structure on the cohomology of configuration spaces of closed orientable surfaces	0
An upper bound on the topological complexity of discriminantal varieties	0
Optimal colored Tverberg theorems for prime powers	0
Refinement invariance of intersection (co)homologies	0
The homotopy class of twisted $L_\infty$-morphisms	0
Classifying space via homotopy coherent nerve	0
Erratum to “Properness and simplicial resolutions for the model category $\mathbf{dgCat}$”	0
Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle	0
Gradient versus proper gradient homotopies	0
Koszul duality in higher topoi	0
Relative $\mathbb{A}^1$-homology and its applications	0
The cohomology of free loop spaces of rank $2$ flag manifolds	0
Symmetric Hochschild cohomology of twisted group algebras	0
Lifespan functors and natural dualities in persistent homology	0
On the topological $K$-theory of twisted equivariant perfect complexes	0
Unstable algebras over an operad II	0
On strict polynomial functors with bounded domain	0
Homotopy theory of spectral sequences	0
On the group of self-homotopy equivalences of a 2-connected and 6-dimensional CW-complex	0
The classifying space of the 1+1 dimensional $G$-cobordism category	0
On finite domination and Poincaré duality	0
Intrinsic convergence of the homological Taylor tower for $r$-immersions in $\mathbb{R}^n$	0
Standard conjecture D for local stacky matrix factorizations	0
Erratum to “Small presentations of model categories and Vopěnka’s principle”	0

Two theorems on cohomological pairings

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