Maurer-Cartan methods in deformation theory: the twisting procedure
V Dotsenko, S Shadrin, B Vallette - arXiv preprint arXiv:2212.11323, 2022 - arxiv.org
This monograph provides an overview on the Maurer-Cartan methods in algebra, geometry,
topology, and mathematical physics. It offers a conceptual, exhaustive and gentle treatment …
topology, and mathematical physics. It offers a conceptual, exhaustive and gentle treatment …
[图书][B] Maurer–Cartan Methods in Deformation Theory
V Dotsenko, S Shadrin, B Vallette - 2023 - books.google.com
Covering an exceptional range of topics, this text provides a unique overview of the Maurer-
Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new …
Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new …
The twisting procedure
V Dotsenko, S Shadrin, B Vallette - arXiv preprint arXiv:1810.02941, 2018 - arxiv.org
This paper provides a conceptual study of the twisting procedure, which amounts to create
functorially new differential graded Lie algebras, associative algebras or operads (as well as …
functorially new differential graded Lie algebras, associative algebras or operads (as well as …
Spectral networks and stability conditions for Fukaya categories with coefficients
Given a holomorphic family of Bridgeland stability conditions over a surface, we define a
notion of spectral network which is an object in a Fukaya category of the surface with …
notion of spectral network which is an object in a Fukaya category of the surface with …
Filtered -Categories and Functor Categories
O De Deken, W Lowen - Applied Categorical Structures, 2018 - Springer
We develop the basic theory of curved A_ ∞ A∞-categories (cA_ ∞ c A∞-categories) in a
filtered setting, encompassing the frameworks of Fukaya categories (Fukaya et al. in Part I …
filtered setting, encompassing the frameworks of Fukaya categories (Fukaya et al. in Part I …
[图书][B] The homotopy theory of modules of curved A∞-algebras
J Armstrong - 2015 - search.proquest.com
We present a homotopy theory for the category of modules over a curved A∞-algebra over a
commutative unital ring. We give a functorial construction of a unital curved dga called the …
commutative unital ring. We give a functorial construction of a unital curved dga called the …