Results 21 to 30 of about 9,055,555 (174)
Exactly solvable lattice Hamiltonians and gravitational anomalies
SciPost Physics, 2023 We construct infinitely many new exactly solvable local commuting projector lattice Hamiltonian models for general bosonic beyond group cohomology invertible topological phases of order two and four in any spacetime dimensions, whose boundaries are ...
Yu-An Chen, Po-Shen Hsin
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BOUNDED COHOMOLOGY AND BINATE GROUPS
Journal of the Australian Mathematical Society, 2022 AbstractA group is boundedly acyclic if its bounded cohomology with trivial real coefficients vanishes in all positive degrees. Amenable groups are boundedly acyclic, while the first nonamenable examples are the group of compactly supported homeomorphisms of$ {\mathbb {R}}^{n}$(Matsumoto–Morita) and mitotic groups (Löh).
Fournier-Facio, Francesco +2 more
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On the Cohomology of Topological Semigroups
Communications in Advanced Mathematical Sciences, 2019 In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr +1 more
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Cohomology of D-complex manifolds [PDF]
, 2012 In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups made up of the classes admitting invariant, respectively anti-invariant ...
Daniele Angella +4 more
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The cohomology of the alternating groups. [PDF]
Michigan Mathematical Journal, 1985 Let p be an odd prime. The author investigates mod p-cohomology of the alternating group \(A_{p^ n}\). He exploits the fact that in this case the regular representation \(({\mathbb{Z}}/p)^ n\hookrightarrow S_{p^ n}\) in the symmetric group factors through the alternating group.
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Topological Insulators from Group Cohomology
Physical Review X, 2016 We classify insulators by generalized symmetries that combine space-time transformations with quasimomentum translations. Our group-cohomological classification generalizes the nonsymmorphic space groups, which extend point groups by real-space ...
A. Alexandradinata +2 more
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Stable rational cohomology of automorphism groups of free groups and the integral cohomology of moduli spaces of graphs [PDF]
, 2002 It is not known whether or not the stable rational cohomology groups H*(Aut(F[infinity]);Q) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it does vanish in the first 6 dimensions).
Jensen, Craig A., C. A. Jensen
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Forum of Mathematics, Sigma, 2021 We construct a $(\mathfrak {gl}_2, B(\mathbb {Q}_p))$ and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at $0$ of a sheaf on $\mathbb {P}^1$, landing in the compactly supported completed $\mathbb {C ...
Sean Howe
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On Schubert calculus in elliptic cohomology [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 An important combinatorial result in equivariant cohomology and $K$-theory Schubert calculus is represented by the formulas of Billey and Graham-Willems for the localization of Schubert classes at torus fixed points.
Cristian Lenart, Kirill Zainoulline
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The eleventh cohomology group of $\overline {\mathcal {M}}_{g,n}$
Forum of Mathematics, Sigma, 2023 We prove that the rational cohomology group $H^{11}(\overline {\mathcal {M}}_{g,n})$ vanishes unless $g = 1$ and $n \geq 11$ . We show furthermore that $H^k(\overline {\mathcal {M}}_{g,n})$ is pure Hodge–Tate for all even ...
Samir Canning, Hannah Larson, Sam Payne
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