Results 11 to 20 of about 9,055,555 (174)
The connective K theory of semidihedral groups [PDF]
, 2010 The real connective K-homology of finite groups ko¤(BG), plays a big role in the Gromov-Lawson-Rosenberg (GLR) conjecture. In order to compute them, we can calculate complex connective K-cohomology, ku¤(BG), first and then follow by computing complex ...
Rodtes, Kijti
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Isotropy in group cohomology [PDF]
Bulletin of the London Mathematical Society, 2014 The analogue of Lagrangians for symplectic forms over finite groups is studied, motivated by the fact that symplectic G-forms with a normal Lagrangian ...
Ben David, Nir +2 more
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Cohomology of Artin Groups [PDF]
Mathematical Research Letters, 1996 Let \(W,S\) be a Coxeter system realized as an irreducible reflection group in \(\mathbb{R}^n\). Denote by \(A=(H)\) the arrangement of reflection hyperplanes and by \(G_W\) the corresponding Artin group. The authors introduce some combinatorial complex \(X_W\) which is homotopically equivalent to the orbit space \((\mathbb{C}^n -\bigcup_{H \in A ...
De Concini, C., Salvetti, M.
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ON THE COHOMOLOGY OF TORELLI GROUPS [PDF]
Forum of Mathematics, Pi, 2020 We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds$\#^{g}S^{n}\times S^{n}$relative to a disc in a stable range, for$2n\geqslant 6$. Our calculation is also valid for$2n=2$assuming that the rational cohomology groups of these Torelli groups are finite-dimensional in a stable range.
Kupers, Alexander +1 more
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L2-Cohomology and group cohomology
Topology, 1986 Simplicial \(L_ 2\)-cohomology is based on the space of square-summable real-valued cochains on a simplicial complex. The authors show how to extend this \(L_ 2\)-cohomology to group equivariant singular \(L_ 2\)- cohomology on arbitrary topological spaces.
Cheeger, Jeff, Gromov, Mikhael
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Integral cohomology and chern classes of the special linear group over the ring of integers [PDF]
, 2001 This paper is devoted to the complete calculation of the additive structure of the 2-torsion of the integral cohomology of the innite special linear group SL(Z) over the ring of integers Z.
Arlettaz, Dominique +3 more
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Transactions of the American Mathematical Society, 1970 Let G be a group of Mobius transformations and V the space of com- plex polynomials of degree < some fixed even integer. Using the action of G on V defined by Eichler, we compute the dimension of the cohomology space H'(G, V), first for G an arbitrary F-group (a generalization of Fuchsian group) and then for the free product of finitely many F-groups ...
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On Restricted Cohomology of Modular Classical Lie Algebras and Their Applications
Mathematics, 2022 In this paper, we study the restricted cohomology of Lie algebras of semisimple and simply connected algebraic groups in positive characteristics with coefficients in simple restricted modules and their applications in studying the connections between ...
Sherali S. Ibraev +2 more
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On the Weil-étale Cohomology of S-Integers [PDF]
, 2012 We generalize the Lichtenbaum's prototype of Weil-étale cohomology to S-integers and study its relation to the Tate sequences. In the final part, we present a more natural way to define Weil-étale cohomology for one-dimensional arithmetic schemes ...
Chiu, Yi-Chih
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COHOMOLOGY OF KLEINIAN GROUPS [PDF]
Proceedings of the National Academy of Sciences, 1969 Let [unk] be a (nonelementary) Kleinian group and q ≥ 2 an integer. The group [unk] acts in a natural way on the vector space II 2 q —2 of complex polynomials in one
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