Spectral geometry of symplectic spinors

DOI10.1063/1.4934364zbMath1325.81105arXiv1508.03684OpenAlexW2160260288MaRDI QIDQ3450570

Dmitri V. Vassilevich

Publication date: 6 November 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03684

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Noncommutative geometry methods in quantum field theory (81T75) Spinor and twistor methods applied to problems in quantum theory (81R25) Geometry and quantization, symplectic methods (81S10) Spin and Spin({}^c) geometry (53C27) Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65) Geometric quantization (53D50) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The spectral action for Dirac operators with skew-symmetric torsion
• Spectral action for torsion with and without boundaries
• Noncommutative geometry, quantum fields and motives
• Fedosov manifolds
• Basic properties of symplectic Dirac operators
• The spectral action principle
• Heat kernel expansion: user's manual
• The Dirac operator on symplectic spinors
• An introduction to noncommutative geometry
• Introduction to symplectic Dirac operators
• Can One Hear the Shape of a Drum?
• Compact metric spaces, Fredholm modules, and hyperfiniteness

This page was built for publication: Spectral geometry of symplectic spinors