Bryant-Salamon自旋(7)流形上Clarke-Oliveira瞬子的变形

IF 1.1 3区 数学 Q3 MATHEMATICS, APPLIED
Tathagata Ghosh
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引用次数: 0

摘要

本文计算了Bryant-Salamon自旋(7)流形上Clarke-Oliveira瞬子的变形。Bryant-Salamon自旋(7)流形- \(S^4\)的负旋量束-是一个渐近圆锥流形,其连杆是压扁的7球。我们利用作者在前一篇论文中提出的变形理论计算了Clarke-Oliveira实例的变形,并计算了模空间的虚维。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Deformations of Clarke–Oliveira Instantons on Bryant–Salamon Spin(7)-Manifold

Deformations of Clarke–Oliveira Instantons on Bryant–Salamon Spin(7)-Manifold

Deformations of Clarke–Oliveira Instantons on Bryant–Salamon Spin(7)-Manifold

In this paper we compute the deformations of the Clarke–Oliveira instantons on the Bryant–Salamon Spin(7)-Manifold. The Bryant–Salamon Spin(7)-Manifold — the negative spinor bundle of \(S^4\) — is an asymptotically conical manifold where the link is the squashed 7-sphere. We use the deformation theory developed by the author in a previous paper to calculate the deformations of the Clarke–Oliveira instantons and calculate the virtual dimensions of the moduli spaces.

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来源期刊
Mathematical Physics, Analysis and Geometry
Mathematical Physics, Analysis and Geometry 数学-物理:数学物理
CiteScore
2.10
自引率
0.00%
发文量
26
审稿时长
>12 weeks
期刊介绍: MPAG is a peer-reviewed journal organized in sections. Each section is editorially independent and provides a high forum for research articles in the respective areas. The entire editorial board commits itself to combine the requirements of an accurate and fast refereeing process. The section on Probability and Statistical Physics focuses on probabilistic models and spatial stochastic processes arising in statistical physics. Examples include: interacting particle systems, non-equilibrium statistical mechanics, integrable probability, random graphs and percolation, critical phenomena and conformal theories. Applications of probability theory and statistical physics to other areas of mathematics, such as analysis (stochastic pde''s), random geometry, combinatorial aspects are also addressed. The section on Quantum Theory publishes research papers on developments in geometry, probability and analysis that are relevant to quantum theory. Topics that are covered in this section include: classical and algebraic quantum field theories, deformation and geometric quantisation, index theory, Lie algebras and Hopf algebras, non-commutative geometry, spectral theory for quantum systems, disordered quantum systems (Anderson localization, quantum diffusion), many-body quantum physics with applications to condensed matter theory, partial differential equations emerging from quantum theory, quantum lattice systems, topological phases of matter, equilibrium and non-equilibrium quantum statistical mechanics, multiscale analysis, rigorous renormalisation group.
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