Super Toeplitz operators and non-perturbative deformation quantization of supermanifolds

DOI10.1007/BF02099040zbMath0791.58012OpenAlexW2043928589MaRDI QIDQ1803544

Andrzej Lesniewski, David Borthwick, Maurizio Rinaldi, Sławomir Klimek-Chudy

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1007/bf02099040

zbMATH Keywords

supermanifoldsnoncommutative differential geometryquantization deformationssuper Toeplitz operators

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Supermanifolds and graded manifolds (58A50)

Related Items

Quantum Riemann surfaces. III: The exceptional cases, Commutative \(C^*\)-algebras generated by Toeplitz operators on the super unit ball, Supersymmetry and Fredholm modules over quantized spaces, Toeplitz operators over the paragrassmann unit disk, Supercoherent states, super-Kähler geometry and geometric quantization, Quantum electrodynamics in external fields from the spin representation, Super Toeplitz operators on line bundles, Supersymmetric associated vector coherent states and generalized Landau levels arising from two-dimensional supersymmetry, Deformation quantization with separation of variables on a super-Kähler manifold, Geometric quantization on the super-disk, The weighted super-Bergman kernels of \(\mathbb B^{m| n}\) and Integral Representations of the Invariant Inner Products on \(H^2_\nu (\mathbb {B}^m)\), The weighted super Bergman kernels over the supermatrix spaces

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