Thick morphisms of supermanifolds, quantum mechanics, and spinor representation

DOI10.1016/j.geomphys.2019.103540zbMath1460.58004arXiv1909.00290OpenAlexW2985605471MaRDI QIDQ2302525

Hovhannes M. Khudaverdian, Theodore Th. Voronov

Publication date: 26 February 2020

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.00290

zbMATH Keywords

supermanifoldactioncanonical relationspinor representationnon-linear pullbackthick morphism

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Supermanifolds and graded manifolds (58A50) Spin and Spin({}^c) geometry (53C27)

Related Items (5)

Non-linear homomorphisms of algebras of functions are induced by thick morphisms ⋮ Quantization of \((-1)\)-shifted derived Poisson manifolds ⋮ Tangent functor on microformal morphisms, and non-linear pullbacks for forms and cohomology ⋮ Symplectic microgeometry. IV: Quantization ⋮ Addendum to: ``On a Batalin-Vilkovisky operator generating higher Koszul brackets on differential forms

Cites Work

• ``Nonlinear pullbacks of functions and \(L_\infty\)-morphisms for homotopy Poisson structures
• Quantization on supermanifolds and an analytic proof of the Atiyah-Singer index theorem
• Particle spin dynamics as the Grassmann variant of classical mechanics
• Microformal geometry and homotopy algebras
• Fourier integral operators. I
• Berezinians, exterior powers and recurrent sequences
• Thick morphisms of supermanifolds and oscillatory integral operators
• Higher Poisson Brackets and Differential Forms
• Graded Geometry, Q‐Manifolds, and Microformal Geometry
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