Results 31 to 40 of about 12,500,002 (282)
Anomalous discrete symmetries in three dimensions and group cohomology. [PDF]
Physical Review Letters, 2014 We study 't Hooft anomalies for a global discrete internal symmetry G. We construct examples of bosonic field theories in three dimensions with a nonvanishing 't Hooft anomaly for a discrete global symmetry.
A. Kapustin, Ryan Thorngren
semanticscholar +1 more source
Oriented Algebras and the Hochschild Cohomology Group
Mathematics, 2018 Koam and Pirashivili developed the equivariant version of Hochschild cohomology by mixing the standard chain complexes computing group with associative algebra cohomologies to obtain the bicomplex C ˜ G * ( A , X ).
Ali N. A. Koam
doaj +1 more source
Construction and field theory of bosonic-symmetry-protected topological states beyond group cohomology [PDF]
, 2015 We construct a series of bbosonic-symmetry-protected topological (BSPT) states beyond group cohomology classification using ``decorated defects'' approach.
Zhen Bi, Cenke Xu
semanticscholar +1 more source
Second Module Cohomology Group of Induced Semigroup Algebras [PDF]
Sahand Communications in Mathematical Analysis, 2021 For a discrete semigroup $ S $ and a left multiplier operator $T$ on $S$, there is a new induced semigroup $S_{T}$, related to $S$ and $T$. In this paper, we show that if $T$ is multiplier and bijective, then the second module cohomology groups ...
Mohammad Reza Miri +2 more
doaj +1 more source
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
doaj +1 more source
On cohomology of crystallographic groups with cyclic holonomy of split type [PDF]
, 2011 We disprove a conjecture stating that the integral cohomology of any crystallographic group Z^n \rtimes Z_m is given by the cohomology of Z_m with coefficients in the cohomology of the group Z^n, by providing a complete list of counterexamples up to ...
Adem +13 more
core +2 more sources
Relative Group Cohomology and The Orbit Category [PDF]
, 2012 Let G be a finite group and ℱ be a family of subgroups of G closed under conjugation and taking subgroups. We consider the question whether there exists a periodic relative ℱ-projective resolution for ℤ when ℱ is the family of all subgroups H ≤ G with rk
Semra Pamuk, Ergün Yalçın
semanticscholar +1 more source
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
openaire +5 more sources
Automorphisms of corona algebras, and group cohomology [PDF]
, 2012 In 2007 Phillips and Weaver showed that, assuming the Continuum Hypothesis, there exists an outer automorphism of the Calkin algebra. (The Calkin algebra is the algebra of bounded operators on a separable complex Hilbert space, modulo the compact ...
Samuel Coskey, I. Farah
semanticscholar +1 more source
Nilpotence in group cohomology [PDF]
Proceedings of the Edinburgh Mathematical Society, 2012 AbstractWe study bounds on nilpotence in H*(BG), the mod p cohomology of the classifying space of a compact Lie group G. Part of this is a report of our previous work on this problem, updated to reflect the consequences of Peter Symonds's recent verification of Dave Benson's Regularity Conjecture.
openaire +3 more sources