Symmetry protected topological phases and generalized cohomology by Davide Gaiotto, Theo Johnson-Freyd

“…We review Kitaev’s argument that SPT phases are classified by a generalized cohomology theory, valued in the spectrum of gapped physical systems [20, 23]. …”
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THE INTEGRAL COHOMOLOGY OF THE HILBERT SCHEME OF TWO POINTS by BURT TOTARO

“…In this paper, we compute the mod 2 cohomology of $X^{[2]}$ for any complex manifold $X$ , and the integral cohomology of $X^{[2]}$ when $X$ has torsion-free cohomology.…”
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Deligne-Beilinson Cohomology and Abelian Link Invariants by Enore Guadagnini, Frank Thuillier

Subjects: “…Deligne-Beilinson cohomology…”
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Integral cohomology of quotients via toric geometry by Grégoire Menet

“…We describe the integral cohomology of $X/G$ where $X$ is a compact complex manifold and $G$ a cyclic group of prime order with only isolated fixed points. …”
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On the monoidal invariance of the cohomological dimension of Hopf algebras by Bichon, Julien

“…We also discuss the comparison between the global dimension and the Gerstenhaber–Schack cohomological dimension in the cosemisimple case, obtaining equality in the case the latter is finite. …”
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Some module cohomological properties of Banach algebras by Elham Ilka, Amin Mahmoodi, Abasalt Bodaghi

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DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS by AKSHAY VENKATESH

“…We describe a graded extension of the usual Hecke algebra: it acts in a graded fashion on the cohomology of an arithmetic group $\unicode[STIX]{x1D6E4}$. …”
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BV structure on the Hochschild cohomology of Sullivan algebras by J.-B. Gatsinzi

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Hochschild Cohomology of skew group rings and invariants by Marcos E., Martínez-Villa R., Martins Ma.

Subjects: “…hochschild cohomology…”
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Quantitative Heegaard Floer cohomology and the Calabi invariant by Daniel Cristofaro-Gardiner, Vincent Humilière, Cheuk Yu Mak, Sobhan Seyfaddini, Ivan Smith

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Equivariant quantum cohomology and the geometric Satake equivalence by Viscardi, Michael

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Mayer-Vietoris property for relative symplectic cohomology by Varolgunes, Umut

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Equivariant cohomology and smooth p-toral actions by Duflot, Jeanne.

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Lie Conformal Algebra Cohomology and the Variational Complex by De Sole, Alberto, Kac, Victor

“…We find an interpretation of the complex of variational calculus in terms of the Lie conformal algebra cohomology theory. This leads to a better understanding of both theories. …”
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Symplectic cohomology and duality for the wrapped Fukaya Category by Ganatra, Sheel (Sheel Chandrakant)

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S[subscript n]-equivariant sheaves and Koszul cohomology by Yang, David H.

“…Purpose: We give a new interpretation of Koszul cohomology, which is equivalent under the Bridgeland-King-Reid equivalence to Voisin's Hilbert scheme interpretation in dimensions 1 and 2 but is different in higher dimensions. …”
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Floer cohomology and geometric composition of Lagrangian correspondences by Wehrheim, Katrin, Woodward, Chris T.

“…We prove an isomorphism of Floer cohomologies under geometric composition of Lagrangian correspondences in exact and monotone settings.…”
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On cohomologies and representations of groups with normal Engel subgroups by Kissin, Edward, Shulman, Victor

“…The paper studies triviality conditions for the cohomology group H1(G; lambda;U) when lambda and U are sectionally spectrally disjoint and examines some decompositions of the extension e(lambda; U; ksi) of lambda by U associated with non-trivial (lambda; U)-cocycles ksi.…”
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Dirac cohomology of one-W-type representations by Ciubotaru, D, Moy, A

“…We show that every such one K-type module has nonzero Dirac cohomology (in the sense of [D. Barbasch, D. Ciubotaru, P. …”

Constructions in stable commutator length and bounded cohomology by Heuer, N

“…In this thesis we discuss several new constructions for classses in bounded cohomology.</p> <p>There is a well-known interpretation of ordinary group cohomology in degrees 2 and 3 in terms of group extensions. …”