# Thick morphisms of supermanifolds, quantum mechanics, and spinor representation

@article{Khudaverdian2020ThickMO, title={Thick morphisms of supermanifolds, quantum mechanics, and spinor representation}, author={Hovhannes M. Khudaverdian and Theodore Th. Voronov}, journal={Journal of Geometry and Physics}, year={2020} }

## 5 Citations

Quantization of (-1)-Shifted Derived Poisson Manifolds

- Mathematics
- 2022

. We inv estigate the quantization problem of ( − 1) -shifted derived Poisson manifolds in terms of BV ∞ -operators on the space of Berezinian half-densities. We prove that quantizing such a ( − 1)…

Symplectic microgeometry, IV: Quantization

- MathematicsPacific Journal of Mathematics
- 2021

We construct a special class of semiclassical Fourier integral operators whose wave fronts are symplectic micromorphisms. These operators have very good properties: they form a category on which the…

Frame covariant formalism for fermionic theories

- PhysicsThe European Physical Journal C
- 2021

We present a frame- and reparametrisation-invariant formalism for quantum field theories that include fermionic degrees of freedom. We achieve this using methods of field-space covariance and the…

Non-linear homomorphisms of algebras of functions are induced by thick morphisms.

- Mathematics
- 2020

In 2014, Voronov introduced the notion of thick morphisms of (super)manifolds as a tool for constructing $L_{\infty}$-morphisms of homotopy Poisson algebras. Thick morphisms generalise ordinary…

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