Results 81 to 90 of about 31,583 (180)
Holomorphic equivariant cohomology
This paper introduces an equivariant cohomology group for holomorphic (non-compact) Lie group actions on complex manifolds and discusses its various properties. These include localization to fixed points which then implies many integration and residue formulas, especially a Duistermaat- Heckman type formula for non-compact Lie group action on Kähler ...
openaire +1 more source
The shift‐homological spectrum and parametrising kernels of rank functions
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird +2 more
wiley +1 more source
Constant and Equivariant Cyclic Cohomology [PDF]
In this note we prove that the constant and equivariant cyclic cohomology of algebras coincide. This shows that constant cyclic cohomology is rich and computable.
openaire +2 more sources
Iitaka fibrations and integral points: A family of arbitrarily polarized spherical threefolds
Abstract Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line bundle is bounded. This confirms a recent conjecture by Santens and sheds new light on the logarithmic analog of Iitaka fibrations, which have not yet been adequately
Ulrich Derenthal, Florian Wilsch
wiley +1 more source
Equivariant Brauer groups and cohomology
Let \(\Gamma\) be a group, \(K\) a \(\Gamma\)-field, i.e., a field on which \(\Gamma\) acts by automorphisms, and \(H^2(\Gamma;K^*)\) the second cohomology group of \(\Gamma\) with coefficients in the multiplicative group \(K^*\) of \(K\) (viewed as a \(\Gamma\)-module).
Cegarra, A.M., Garzón, A.R.
openaire +1 more source
Boundary representations of locally compact hyperbolic groups
Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
wiley +1 more source
Localization of equivariant cohomology rings [PDF]
The main result of this paper is the "calculation" of the Borel equivariant cohomology ring H ∗ ( E G × G X , Z / p
openaire +2 more sources
GL‐algebras in positive characteristic II: The polynomial ring
Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
wiley +1 more source
Real models for the framed little n$n$‐disks operads
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley +1 more source
Twisting and localization in supergravity: equivariant cohomology of BPS black holes
We develop the formalism of supersymmetric localization in supergravity using the deformed BRST algebra defined in the presence of a supersymmetric background as recently formulated in [1].
Imtak Jeon, Sameer Murthy
doaj +1 more source

