Cohomology of simple modules for sl3(k) in characteristic 3 by A.A. Ibrayeva, Sh.Sh. Ibraev, G.K. Yeshmurat

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Twisting and localization in supergravity: equivariant cohomology of BPS black holes by Imtak Jeon, Sameer Murthy

“…The gravitational functional integral localizes onto the cohomology of a global supercharge Q eq, obeying Q eq 2  = H, where H is a global symmetry of the background. …”
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The stable cohomology of self-equivalences of connected sums of products of spheres by Robin Stoll

“…We identify the cohomology of the stable classifying space of homotopy automorphisms (relative to an embedded disk) of connected sums of ${\mathrm {S}^{k}} \times {\mathrm {S}^{l}}$ , where $3 \le k < l \le 2k - 2$ . …”
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Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology by José M. Isidro, Pedro Fernández de Córdoba

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Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields by Roberto Ferreiro Pérez, Jaime Muñoz Masqué

Subjects: “…Gel'fand-Fuks cohomology…”
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Cohomology of simple modules for sl3(k) in characteristic 3 by A.A. Ibrayeva

“…The results on the cohomology of simple nontrivial module are used for calculating the cohomology of the adjoint module. …”
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On Galois cohomology and realizability of 2-groups as Galois groups II by Michailov Ivo

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Crystallographic interacting topological phases and equivariant cohomology: to assume or not to assume by Daniel Sheinbaum, Omar Antolín Camarena

“…Using a slightly generalized Bloch decomposition and Grassmanians made out of ground state spaces, we show that the P-equivariant cohomology of a d-dimensional torus gives rise to different interacting phases, where P denotes the point group of the crystalline structure. …”
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Cohomology Algebras of a Family of DG Skew Polynomial Algebras by Xuefeng Mao, Gui Ren

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A Hodge-type decomposition of holomorphic Poisson cohomology on nilmanifolds by Poon Yat Sun, Simanyi John

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The equivariant pair-of-pants product in fixed point Floer cohomology by Seidel, Paul Alfred

“…We use equivariant methods and product structures to derive a relation between the fixed point Floer cohomology of an exact symplectic automorphism and that of its square.…”
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An operadic approach to vertex algebra and Poisson vertex algebra cohomology by Kac, Victor

“…Consequently, the general construction of a cohomology complex associated to a linear operad produces the vertex algebra cohomology complex. …”
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A cohomological interpretation of the scalar product on the elliptic class functions by Chae, Hi-joon

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Quillen cohomology of pi-algebras and application to their realization by Martin Frankland. by Frankland, Martin

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Symmetry protected topological orders and the group cohomology of their symmetry group by Chen, Xie, Gu, Zheng-Cheng, Liu, Zheng-Xin, Wen, Xiao-Gang

“…In this paper, we show that interacting bosonic SPT phases can be systematically described by group cohomology theory: Distinct d-dimensional bosonic SPT phases with on-site symmetry G (which may contain antiunitary time-reversal symmetry) can be labeled by the elements in H[superscript 1+d][G,U[subscript T](1)], the Borel (1 + d)-group-cohomology classes of G over the G module U[subscript T](1). …”
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Representations of nilpotent groups: extensions, neutral cohomology, and Pontryagin spaces by Kissin, Edward, Shulman, Victor S.

“…Spectral criteria for the cohomological triviality of extensions of representations of connected nilpotent groups are obtained. …”
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Invariance of symplectic cohomology and twisted cotangent bundles over surfaces by Benedetti, G, Ritter, AF

“…In particular, we show the existence of geometrically distinct orbits by exploiting properties of the BV-operator on symplectic cohomology.…”

Calculating the virtual cohomological dimension of the automorphism group of a RAAG by Day, MB, Sale, AW, Wade, RD

“…We describe an algorithm to find the virtual cohomological dimension of the automorphism group of a right‐angled Artin group. …”

On the Farrell cohomology of the mapping class group of non-orientable surfaces by Hope, G, Tillmann, U

“…We study the unstable cohomology of the mapping class groups N g of non-orientable surfaces of genus g. …”

Z/2-equivariant Heegaard Floer cohomology and transverse knots by Kang, S

“…In the first part, we study various properties of Z₂-equivariant Heegaard Floer cohomology. Then, in the second part, we apply the results of the first part to study transverse knot invariants in the standard contact S³.…”