Results 51 to 60 of about 19,522 (183)
Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
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Noncommutative spectral geometry, algebra doubling, and the seeds of quantization [PDF]
Physical Review D, 2011 12 pages; amended version to match publication in ...
Mairi Sakellariadou +2 more
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Twisted conjugacy in soluble arithmetic groups
Mathematische Nachrichten, Volume 298, Issue 3, Page 763-793, March 2025.Abstract Reidemeister numbers of group automorphisms encode the number of twisted conjugacy classes of groups and might yield information about self‐maps of spaces related to the given objects. Here, we address a question posed by Gonçalves and Wong in the mid‐2000s: we construct an infinite series of compact connected solvmanifolds (that are not ...
Paula M. Lins de Araujo +1 more
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Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.Nonassociative algebra presents multiple options for comprehending and dealing with difficulties in graph theory, artificial intelligence, and cryptography. Its distinctive traits introduce genuine concepts and procedures not found in conventional associative algebra, yielding to new results from studies and breakthroughs in multiple disciplines ...
Mohammad Mazyad Hazzazi +5 more
wiley +1 more source
Algebraic deformations of toric varieties II. Noncommutative instantons
, 2011 We continue our study of the noncommutative algebraic and differential geometry of a particular class of deformations of toric varieties, focusing on aspects pertinent to the construction and enumeration of noncommutative instantons on these varieties ...
Cirio, Lucio +2 more
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Various Properties of the Quasi‐Regular Graphs Over the Rings Zn
Journal of Mathematics, Volume 2025, Issue 1, 2025.Zeyada, Muthana, and Al Rashidi recently introduced and investigated a quasi‐regular graph of rings. In this paper, we shall examine various aspects of this idea, with particular attention to the finite ring Zn. More precisely, we calculate the independent and domination numbers of QZn.
Nasr Zeyada +5 more
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Curvature and Weitzenböck formula for spectral triples
Mathematische Nachrichten, Volume 297, Issue 12, Page 4582-4604, December 2024.Abstract Using the Levi‐Civita connection on the noncommutative differential 1‐forms of a spectral triple (B,H,D)$(\mathcal {B},\mathcal {H},\mathcal {D})$, we define the full Riemann curvature tensor, the Ricci curvature tensor and scalar curvature. We give a definition of Dirac spectral triples and derive a general Weitzenböck formula for them.
Bram Mesland, Adam Rennie
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Combinatorial Descent Data for Gerbes
, 2014 We consider descent data in cosimplicial crossed groupoids. This is a combinatorial abstraction of the descent data for gerbes in algebraic geometry. The main result is this: a weak equivalence between cosimplicial crossed groupoids induces a bijection ...
Yekutieli, Amnon
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Sobolev algebras on Lie groups and noncommutative geometry
Journal of Noncommutative Geometry, 2023 We show that there exists a quantum compact metric space which underlies the setting of each Sobolev algebra associated to a subelliptic Laplacian \Delta=-(X_1^2+\cdots+X_m^2) on a compact connected Lie group G if
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