Journal of Geometry and Physics最新文献_第7页

Stable isotopy connectivity of gradient-like diffeomorphisms of 2-torus 2-Torus 的梯度样差变形的稳定同位连接性

IF 1.6 3区数学

Journal of Geometry and Physics Pub Date : 2024-10-31 DOI: 10.1016/j.geomphys.2024.105352

A.A. Nozdrinov, E.V. Nozdrinova, O.V. Pochinka

引用次数: 0

Direct linearization of the SU(2) anti-self-dual Yang-Mills equation in various spaces 各种空间中 SU(2) 反自偶杨-米尔斯方程的直接线性化

IF 1.6 3区数学

Journal of Geometry and Physics Pub Date : 2024-10-30 DOI: 10.1016/j.geomphys.2024.105351

Shangshuai Li , Da-jun Zhang

引用次数: 0

Cohomology and extensions of relative Rota–Baxter groups 相对罗塔-巴克斯特群的同调与扩展

IF 1.6 3区数学

Journal of Geometry and Physics Pub Date : 2024-10-30 DOI: 10.1016/j.geomphys.2024.105353

Pragya Belwal, Nishant Rathee, Mahender Singh

引用次数: 0

Complete intersection hyperkähler fourfolds with respect to equivariant vector bundles over rational homogeneous varieties of Picard number one 关于皮卡数为 1 的有理同素变种上的等变向量束的完全相交超卡勒四折

IF 1.6 3区数学

Journal of Geometry and Physics Pub Date : 2024-10-30 DOI: 10.1016/j.geomphys.2024.105348

Eunjeong Lee , Kyeong-Dong Park

引用次数: 0

Torelli theorem for moduli stacks of vector bundles and principal G-bundles 向量束和主 G 束模堆的托勒里定理

IF 1.6 3区数学

Journal of Geometry and Physics Pub Date : 2024-10-29 DOI: 10.1016/j.geomphys.2024.105350

David Alfaya , Indranil Biswas , Tomás L. Gómez , Swarnava Mukhopadhyay

引用次数: 0

An elementary description of nef cone for irreducible holomorphic symplectic manifolds 不可还原全态交映流形内锥的基本描述

IF 1.6 3区数学

Journal of Geometry and Physics Pub Date : 2024-10-29 DOI: 10.1016/j.geomphys.2024.105349

Anastasia V. Vikulova

引用次数: 0

Urn models, Markov chains and random walks in cosmological topologically massive gravity at the critical point 临界点宇宙拓扑大质量引力中的瓮模型、马尔可夫链和随机漫步

IF 1.6 3区数学

Journal of Geometry and Physics Pub Date : 2024-10-28 DOI: 10.1016/j.geomphys.2024.105347

Yannick Mvondo-She

{"title":"Urn models, Markov chains and random walks in cosmological topologically massive gravity at the critical point","authors":"Yannick Mvondo-She","doi":"10.1016/j.geomphys.2024.105347","DOIUrl":"10.1016/j.geomphys.2024.105347","url":null,"abstract":"<div><div>We discuss a partition-valued stochastic process in the logarithmic sector of critical cosmological topologically massive gravity. By applying results obtained in our previous works, we first show that the logarithmic sector can be modeled as an urn scheme, with a conceptual view of the random process occurring in the theory as an evolutionary process whose dynamical state space is the urn content. The urn process is then identified as the celebrated Hoppe urn model. We next show a one-to-one correspondence between Hoppe's urn model and the genus-zero Feynman diagram expansion of the log sector in terms of rooted trees. In this context, the balls in the urn model are represented by nodes in the random tree model, and the “special” ball in this Pólya-like urn construction finds a nice interpretation as the root in the recursive tree model. Furthermore, a partition-valued Markov process in which a sequence of partitions whose distribution is given by Hurwitz numbers is shown to be encoded in the log partition function. Given the bijection between the set of partitions of n and the conjugacy classes of the symmetric group <math><msub><mrow><mi>S</mi></mrow><mrow><mi>n</mi></mrow></msub></math>, it is shown that the structure of the Markov chain consisting of a sample space that is also the set of permutations of n elements, leads to a further description of the Markov chain in terms of a random walk on the symmetric group. From this perspective, a probabilistic interpretation of the logarithmic sector of the theory as a two-dimensional gauge theory on the <math><msub><mrow><mi>S</mi></mrow><mrow><mi>n</mi></mrow></msub></math> group manifold is given. We suggest that a possible holographic dual to cosmological topologically massive gravity at the critical point could be a logarithmic conformal field theory that takes into account non-equilibrium phenomena.</div></div>","PeriodicalId":55602,"journal":{"name":"Journal of Geometry and Physics","volume":"207 ","pages":"Article 105347"},"PeriodicalIF":1.6,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142561462","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Twists of graded Poisson algebras and related properties 分级泊松代数的扭转及相关性质

IF 1.6 3区数学

Journal of Geometry and Physics Pub Date : 2024-10-24 DOI: 10.1016/j.geomphys.2024.105344

Xin Tang , Xingting Wang , James J. Zhang

{"title":"Twists of graded Poisson algebras and related properties","authors":"Xin Tang , Xingting Wang , James J. Zhang","doi":"10.1016/j.geomphys.2024.105344","DOIUrl":"10.1016/j.geomphys.2024.105344","url":null,"abstract":"<div><div>We introduce a Poisson version of the graded twist of a graded associative algebra and prove that every graded Poisson structure on a connected graded polynomial ring <math><mi>A</mi><mo>:</mo><mo>=</mo><mi>k</mi><mo>[</mo><msub><mrow><mi>x</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><mo>…</mo><mo>,</mo><msub><mrow><mi>x</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>]</mo></math> is a graded twist of a unimodular Poisson structure on A, namely, if π is a graded Poisson structure on A, then π has a decomposition<math><mi>π</mi><mspace></mspace><mo>=</mo><mspace></mspace><msub><mrow><mi>π</mi></mrow><mrow><mi>u</mi><mi>n</mi><mi>i</mi><mi>m</mi></mrow></msub><mo>+</mo><mfrac><mrow><mn>1</mn></mrow><mrow><msubsup><mrow><mo>∑</mo></mrow><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mrow><mi>n</mi></mrow></msubsup><mi>deg</mi><mo>⁡</mo><msub><mrow><mi>x</mi></mrow><mrow><mi>i</mi></mrow></msub></mrow></mfrac><mi>E</mi><mo>∧</mo><mi>m</mi></math> where E is the Euler derivation, <math><msub><mrow><mi>π</mi></mrow><mrow><mi>u</mi><mi>n</mi><mi>i</mi><mi>m</mi></mrow></msub></math> is the unimodular graded Poisson structure on A corresponding to π, and m is the modular derivation of <math><mo>(</mo><mi>A</mi><mo>,</mo><mi>π</mi><mo>)</mo></math>. This result is a generalization of the same one in the quadratic setting. The rigidity of graded twisting, <math><mi>P</mi><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math>-minimality, and H-ozoneness are studied. As an application, we compute the Poisson cohomologies of the quadratic Poisson structures on the polynomial ring of three variables when the potential is irreducible, but not necessarily having an isolated singularity.</div></div>","PeriodicalId":55602,"journal":{"name":"Journal of Geometry and Physics","volume":"207 ","pages":"Article 105344"},"PeriodicalIF":1.6,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142578359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Finite spectral triples for the fuzzy torus 模糊环的有限谱三元组

IF 1.6 3区数学

Journal of Geometry and Physics Pub Date : 2024-10-24 DOI: 10.1016/j.geomphys.2024.105345

John W. Barrett, James Gaunt

引用次数: 0

On ELSV-type formulae and relations between Ω-integrals via deformations of spectral curves 通过谱曲线变形论 ELSV 型公式和 Ω 积分关系

IF 1.6 3区数学

Journal of Geometry and Physics Pub Date : 2024-10-22 DOI: 10.1016/j.geomphys.2024.105343

Gaëtan Borot , Maksim Karev , Danilo Lewański

引用次数: 0