Results 31 to 40 of about 6,967,157 (160)

h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley   +1 more source

Localization sequences for logarithmic topological cyclic homology

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes   +2 more
wiley   +1 more source

Uniqueness of A-infinity structures and Hochschild cohomology [PDF]

open access: yes, 2011
Working over a commutative ground ring, we establish a Hochschild cohomology criterion for uniqueness of derived A-infinity algebra structures in the sense of Sagave.
Whitehouse, Sarah   +5 more
core   +1 more source

Higher representation stability for ordered configuration spaces

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley   +1 more source

Simple homotopy theory for Fukaya categories

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley   +1 more source

Weinstein neighborhood theorems for stratified subspaces

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract By analogy with Weinstein's neighborhood theorem, we prove a uniqueness result for symplectic neighborhoods of a large family of stratified subspaces. This result generalizes existing constructions, for example, in the search for exotic Lagrangians.
Yael Karshon   +2 more
wiley   +1 more source

Symplectic Bott-Chern cohomology of solvmanifolds [PDF]

open access: yes, 2013
We study the symplectic Bott-Chern cohomology by L.-S. Tseng and S.-T.
Daniele Angella   +3 more
core  

An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
wiley   +1 more source

Lefschetz decompositions of Kudla–Millson theta functions

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract In the 1980s Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential form on an orthogonal Shimura variety X$X$ with respect to the other variable. We prove that the Lefschetz decomposition of the cohomology class of that theta function
Jan Hendrik Bruinier, Riccardo Zuffetti
wiley   +1 more source

The asymptotic Mahler measure of Gaussian periods

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen   +2 more
wiley   +1 more source

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