Results 41 to 50 of about 88,096 (255)

A New Cohomology Theory for Orbifold

, 2001
Motivated by orbifold string theory, we introduce orbifold cohomology group for any almost complex orbifold and orbifold Dolbeault cohomology for any complex orbifold.
Baily, Batyrev, Chen, Goresky, Kawasaki, Kawasaki, Li, Satake, Scott, Voisin, Weimin Chen, Yongbin Ruan, Zaslow   +12 more
core   +1 more source

Cohomology and Deformations of Relative Rota–Baxter Operators on Lie-Yamaguti Algebras

Mathematics
In this paper, we establish the cohomology of relative Rota–Baxter operators on Lie-Yamaguti algebras via the Yamaguti cohomology. Then, we use this type of cohomology to characterize deformations of relative Rota–Baxter operators on Lie-Yamaguti ...
Jia Zhao, Yu Qiao
doaj   +1 more source

Cohomology of Coxeter groups

Topology and its Applications, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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, Löh, Clara, Moraschini, Marco   +2 more
openaire   +6 more sources

The BIC of a singular foliation defined by an abelian group of isometries

, 2005
We study the cohomology properties of the singular foliation $\F$ determined by an action $\Phi \colon G \times M\to M$ where the abelian Lie group $G$ preserves a riemannian metric on the compact manifold $M$.
Saralegi-Aranguren, M., Wolak, R.
core   +3 more sources

Families of singular algebraic varieties that are rationally elliptic spaces

Mathematische Nachrichten, EarlyView.
Abstract We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is finite. They represent infinitely many distinct homotopy types with all hypersurfaces having a nef canonical or anti‐canonical class.
A. Libgober
wiley   +1 more source

The cohomology of the symmetric groups [PDF]

Transactions of the American Mathematical Society, 1978
Let S n {{\mathcal {S}}_n} be the symmetric group on n letters and SG the limit of the sets of degree +1 homotopy equivalences of the n − 1 n - 1 sphere. Let p be an odd prime.
openaire   +1 more source

Finitary Group Cohomology and Group Actions on Spheres

, 2008
We show that if G is an infinitely generated locally (polycyclic-by-finite) group with cohomology almost everywhere finitary, then every finite subgroup of G acts freely and orthogonally on some sphere.Comment: 6 ...
Hamilton, Martin
core   +1 more source

The log Grothendieck ring of varieties

Bulletin of the London Mathematical Society, EarlyView.
Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross, Leo Herr, David Holmes, Pim Spelier, Jesse Vogel   +4 more
wiley   +1 more source

The cohomology of Torelli groups is algebraic

Forum of Mathematics, Sigma, 2020
The Torelli group of $W_g = \#^g S^n \times S^n$ is the group of diffeomorphisms of $W_g$ fixing a disc that act trivially on $H_n(W_g;\mathbb{Z} )$ .
Alexander Kupers, Oscar Randal-Williams
doaj   +1 more source