Results 41 to 50 of about 175 (120)

Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley   +1 more source

Cohomology and the subgroup structure of a finite soluble group [PDF]

The main topic of this thesis is the discovery and study of a cohomological property of the subgroups called F-normalizers in finite soluble groups; namely, the property that with certain coefficient modules the restriction map in cohomology from a ...
Wilde, Thomas Stephen
core  

Cohomology theories for complexes

, 2007
We introduce and study a complete cohomology theory for complexes, which provides an extended version of Tate–Vogel cohomology in the setting of (arbitrary) complexes over associative rings.
Asadollahi, Javad, Salarian, Shokrollah
core   +1 more source

Multiplicities and equivariant cohomology [PDF]

, 2010
Department Head: Gerhard Dangelmayr.2010 Spring.Includes bibliographical references (pages 110-112).The aim of this paper is to address the following problem: how to relate the algebraic definitions and computations of multiplicity from commutative ...
Miranda, Rick, committee member, Duflot, Jeanne, advisor, Iyer, Hariharan K., committee member, Hulpke, Alexander, committee member, Lynn, Rebecca E., author   +4 more
core  

Representations of Finite Groups Local Cohomology and Support

, 2012
The seminar focuses on a recent solution, by the authors, of a long standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group.
Benson, David J., Iyengar, Srikanth, Krause, Henning, David J. Benson, Benson, David J, Henning Krause, Srikanth Iyengar, Iyengar, Srikanth B.   +7 more
core   +1 more source

Nonvanishing cohomology and classes of Gorenstein rings

, 2004
We give counterexamples to the following conjecture of Auslander: given a finitely generated module M over an Artin algebra Λ, there exists a positive integer nM such that for all finitely generated Λ-modules N, if ExtΛi(M,N)=0 for all i≫0, then ExtΛi(M ...
Jorgensen, David A., David A. Jorgensen, Liana M. Şega, Şega, Liana M.   +3 more
core   +1 more source

Purity for flat cohomology

, 2023
We establish the flat cohomology version of the Gabber-Thomason purity for \'{e}tale cohomology: for a complete intersection Noetherian local ring $(R, \mathfrak{m})$ and a commutative, finite, flat $R$-group $G$, the flat cohomology $H^i_{\mathfrak{m ...
Scholze, Peter, Cesnavicius, Kestutis
core  

Annihilation of Cohomology over Gorenstein Rings

, 2019
One of the fundamental links between geometry and homological algebra is that smooth affine schemes have coordinate rings of finite global dimension.
Esentepe, Özgür
core   +1 more source

The Effect of Topological Properties of Commutative Algebraic Rings on Local Cohomology Modules

This research investigates the effect of topological properties of commutative algebraic rings on local cohomology modules. The main goal is to analyze in detail the relationship between Zariski topology, localization, and topological stability with the structure and properties of local cohomology modules.
openaire   +2 more sources

Polytope Novikov homology. [PDF]

J Fixed Point Theory Appl, 2021
Pellegrini A.
europepmc   +1 more source