Results 151 to 160 of about 119,433,262 (188)

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

Structured Dynamics in the Algorithmic Agent. [PDF]

open access: yesEntropy (Basel)
Ruffini G, Castaldo F, Vohryzek J.
europepmc   +1 more source

Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley   +1 more source

Invariant splitting principles for the Lipshitz–Ozsváth–Thurston correspondence

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract We prove that the Lipshitz–Ozsváth–Thurston correspondence between extended type D structures of knot complements and F[U,V]/(UV)$\mathbb{F}[U,V]/(\textit{UV})$ knot Floer complexes can be arranged so that ιK${\iota}_{K}$‐invariant splittings of knot Floer chain complexes correspond to ιS3∖K${\iota}_{{S}^{3}\setminus K}$‐invariant splittings ...
Gary Guth, Sungkyung Kang
wiley   +1 more source

Colombeau algebras without asymptotics. [PDF]

open access: yesJ Pseudodiffer Oper Appl, 2019
Nigsch EA.
europepmc   +1 more source

Simple groups and complements of smooth surfaces in simply connected 4‐manifolds

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract For each integer n$n$ we construct an oriented closed simply connected 4‐manifold X$X$ admitting a smoothly embedded closed connected surface Σ$\Sigma$ of self‐intersection number n$n$ such that the complement of the surface has non‐trivial fundamental group. This answers a question of Kronheimer in Kirby's 1997 problem list.
Sam Hughes, Daniel Ruberman
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

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