Calabi-yau algebras
V Ginzburg - arXiv preprint math/0612139, 2006 - arxiv.org
We introduce some new algebraic structures arising naturally in the geometry of Calabi-Yau
manifolds and mirror symmetry. We give a universal construction of Calabi-Yau algebras in …
manifolds and mirror symmetry. We give a universal construction of Calabi-Yau algebras in …
Deformed Calabi–Yau completions
B Keller, M Van den Bergh - 2011 - degruyter.com
We define and investigate deformed n-Calabi–Yau completions of homologically smooth
differential graded (= dg) categories. Important examples are: deformed preprojective …
differential graded (= dg) categories. Important examples are: deformed preprojective …
Tetrahedron equation: algebra, topology, and integrability
DV Talalaev - Russian Mathematical Surveys, 2021 - iopscience.iop.org
The Zamolodchikov tetrahedron equation inherits almost all the richness of structures and
topics in which the Yang–Baxter equation is involved. At the same time, this transition …
topics in which the Yang–Baxter equation is involved. At the same time, this transition …
Noncommutative geometry and quiver algebras
W Crawley-Boevey, P Etingof, V Ginzburg - Advances in Mathematics, 2007 - Elsevier
We develop a new framework for noncommutative differential geometry based on double
derivations. This leads to the notion of moment map and of Hamiltonian reduction in …
derivations. This leads to the notion of moment map and of Hamiltonian reduction in …
The algebraic and geometric classification of transposed Poisson algebras
PD Beites, AF Ouaridi, I Kaygorodov - Revista de la Real Academia de …, 2023 - Springer
The algebraic and geometric classification of transposed Poisson algebras | Revista de la Real
Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Skip to main content …
Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Skip to main content …
[PDF][PDF] Non-associative algebraic structures: classification and structure
I Kaygorodov - Communications in Mathematics, 2023 - cm.episciences.org
arXiv:2306.00425v2 [math.RA] 1 Nov 2023 Page 1 Communications in Mathematics 32 (2024),
no. 3, 1–62 DOI: https://doi.org/10.46298/cm.11419 ©2024 Ivan Kaygorodov This is an open …
no. 3, 1–62 DOI: https://doi.org/10.46298/cm.11419 ©2024 Ivan Kaygorodov This is an open …
Geometry and braiding of Stokes data; fission and wild character varieties
PP Boalch - Annals of mathematics, 2014 - JSTOR
Geometry and braiding of Stokes data; Fission and wild character varieties Page 1 Annals of
Mathematics 179 (2014), 301-365 http: //dx.doi.org/10.4007/annals.2014.179.1.5 Geometry …
Mathematics 179 (2014), 301-365 http: //dx.doi.org/10.4007/annals.2014.179.1.5 Geometry …
Transposed Poisson structures
P Damas Beites, BLM Ferreira, I Kaygorodov - Results in Mathematics, 2024 - Springer
Transposed Poisson Structures | Results in Mathematics Skip to main content SpringerLink
Account Menu Find a journal Publish with us Track your research Search Cart 1.Home 2.Results …
Account Menu Find a journal Publish with us Track your research Search Cart 1.Home 2.Results …
Lectures on noncommutative geometry
V Ginzburg - arXiv preprint math/0506603, 2005 - arxiv.org
These Lectures are based on a course on noncommutative geometry given by the author in
2003 at the University of Chicago. The lectures contain some standard material, such as …
2003 at the University of Chicago. The lectures contain some standard material, such as …
-(bi) derivations and transposed Poisson algebra structures on Lie algebras
L Yuan, Q Hua - Linear and Multilinear Algebra, 2022 - Taylor & Francis
In the present paper, we introduce the notion of a δ-biderivation. First, we provide some
properties of δ-biderivations and illustrate their applications. In particular, we establish a …
properties of δ-biderivations and illustrate their applications. In particular, we establish a …