Results 31 to 40 of about 32,231 (181)
Combination of open covers with π1$\pi _1$‐constraints
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3886-3901, December 2025.Abstract Let G$G$ be a group and let F$\mathcal {F}$ be a family of subgroups of G$G$. The generalised Lusternik–Schnirelmann category catF(G)$\operatorname{cat}_\mathcal {F}(G)$ is the minimal cardinality of covers of BG$BG$ by open subsets with fundamental group in F$\mathcal {F}$.
Pietro Capovilla, Kevin Li, Clara Löh
wiley +1 more source
Model category structures on truncated multicomplexes for complex geometry
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4163-4177, December 2025.Abstract To a bicomplex one can associate two natural filtrations, the column and row filtrations, and then two associated spectral sequences. This can be generalized to N$N$‐multicomplexes. We present a family of model category structures on the category of N$N$‐multicomplexes where the weak equivalences are the morphisms inducing a quasi‐isomorphism ...
Joana Cirici +2 more
wiley +1 more source
Equivariant intersection cohomology of the circle actions
, 2012 In this paper, we prove that the orbit space B and the Euler class of an action of the circle S^1 on X determine both the equivariant intersection cohomology of the pseudomanifold X and its localization.
G Hector +7 more
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The shift‐homological spectrum and parametrising kernels of rank functions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.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]
Letters in Mathematical Physics, 2006 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.
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Iitaka fibrations and integral points: A family of arbitrarily polarized spherical threefolds
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.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
Journal of Algebra, 2006 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.
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Boundary representations of locally compact hyperbolic groups
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.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
Permutation actions on equivariant cohomology [PDF]
, 2007 This survey paper describes two geometric representations of the permutation group using the tools of toric topology. These actions are extremely useful for computational problems in Schubert calculus.
Tymoczko, Julianna S.
core
Localization of equivariant cohomology rings [PDF]
Transactions of the American Mathematical Society, 1984 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