Results 31 to 40 of about 393,149 (150)

Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces

open access: yesJournal 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
wiley   +1 more source

Feigin–Odesskii brackets associated with Kodaira cycles and positroid varieties

open access: yesProceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.
Abstract We establish a link between open positroid varieties in the Grassmannians G(k,n)$G(k,n)$ and certain moduli spaces of complexes of vector bundles over Kodaira cycle Cn$C^n$, using the shifted Poisson structure on the latter moduli spaces and relating them to the standard Poisson structure on G(k,n)$G(k,n)$.
Zheng Hua, Alexander Polishchuk
wiley   +1 more source

The notion of dimension in geometry and algebra [PDF]

open access: yesarXiv, 2005
This talk reviews some mathematical and physical ideas related to the notion of dimension. After a brief historical introduction, various modern constructions from fractal geometry, noncommutative geometry, and theoretical physics are invoked and compared.
arxiv  

A remark on the Brylinski conjecture for orbifolds

open access: yes, 2010
We present reformulation of Mathieu's result on representing cohomology classes of symplectic manifold with symplectically harmonic forms. We apply it to the case of foliated manifolds with transversally symplectic structure and to symplectic orbifolds ...
A. CZARNECKI   +4 more
core   +1 more source

Foundations of Ghost Stability

open access: yesFortschritte der Physik, Volume 73, Issue 4, April 2025.
Abstract The authors present a new method to analytically prove global stability in ghost‐ridden dynamical systems. The proposal encompasses all prior results and consequentially extends them. In particular, it is shown that stability can follow from a conserved quantity that is unbounded from below, contrary to expectation.
Verónica Errasti Díez   +2 more
wiley   +1 more source

Non-Archimedean Geometry and Physics on Adelic Spaces [PDF]

open access: yesarXiv, 2003
This is a brief review article of various applications of non-Archimedean geometry, p-adic numbers and adeles in modern mathematical physics.
arxiv  

Mathematical relativity [PDF]

open access: yesarXiv, 2020
Lecture notes written for a one-semester course in mathematical relativity aimed at mathematics and physics students. Not meant as an introduction to general relativity, but rather as a complementary, more advanced text.
arxiv  

Maps on statistical manifolds exactly reduced from the Perron-Frobenius equations for solvable chaotic maps

open access: yes, 2018
Maps on a parameter space for expressing distribution functions are exactly derived from the Perron-Frobenius equations for a generalized Boole transform family.
Goto, Shin-itiro, Umeno, Ken
core   +1 more source

Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We show that the hyper‐Kähler varieties of OG10‐type constructed by Laza–Saccà–Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general result, stating that certain Lagrangian fibrations verify this conjecture. The main technical assumption of this general result is that the Lagrangian fibration satisfies
Giuseppe Ancona   +3 more
wiley   +1 more source

Integrable geometry and Soliton equations in 2+1 dimensions [PDF]

open access: yesarXiv, 1998
Some aspects of the connection between differential geometry and multidimensional soliton equations are discussed.
arxiv  

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