On the Rouquier dimension of wrapped Fukaya categories and a conjecture of Orlov
S Bai, L Côté - Compositio Mathematica, 2023 - cambridge.org
We study the Rouquier dimension of wrapped Fukaya categories of Liouville manifolds and
pairs, and apply this invariant to various problems in algebraic and symplectic geometry. On …
pairs, and apply this invariant to various problems in algebraic and symplectic geometry. On …
Non-formality of planar configuration spaces in characteristic 2
P Salvatore - International Mathematics Research Notices, 2020 - academic.oup.com
We prove that the ordered configuration space of four points or more in the plane has a
nonformal singular cochain algebra in characteristic 2. This is proved by constructing an …
nonformal singular cochain algebra in characteristic 2. This is proved by constructing an …
[PDF][PDF] Lie models of classifying fibrations
MF Rumí - 2023 - core.ac.uk
Broadly speaking, Rational Homotopy Theory deals with the homotopical behavior of the
non-torsion part of topological spaces. For it, and in general terms, one first associates to …
non-torsion part of topological spaces. For it, and in general terms, one first associates to …
Lie models of classifying fibrations.
M Fuentes Rumí - 2023 - riuma.uma.es
Broadly speaking, Rational Homotopy Theory deals with the homotopical behavior of the
non-torsion part of topological spaces. For it, and in general terms, one first associates to …
non-torsion part of topological spaces. For it, and in general terms, one first associates to …
Homotopy coherent centers versus centers of homotopy categories
M Szymik - 2013 - books.google.com
Centers of categories capture the natural operations defined on their objects. Homotopy
coherent centers are an extension of this notion to categories with an associated homotopy …
coherent centers are an extension of this notion to categories with an associated homotopy …
Invariants from Equivariant Transversality in Symplectic Topology and Some Results on the Rouquier Dimension of Wrapped Fukaya Categories
S Bai - 2022 - search.proquest.com
In this thesis, we construct several invariants in low-dimensional topology and symplectic
topology, including a symplectic definition of generalized Casson invariants, an extension of …
topology, including a symplectic definition of generalized Casson invariants, an extension of …
The fundamental group of a noncommutative space
WD van Suijlekom, J Winkel - Algebras and Representation Theory, 2022 - Springer
We introduce and analyse a general notion of fundamental group for noncommutative
spaces, described by differential graded algebras. For this we consider connections on …
spaces, described by differential graded algebras. For this we consider connections on …