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Showing 1 to 7 of 7 for “"Deformation quantization"”.

  1. Deformation quantization of symplectic fibrations

    Kravchenko, OlgaMassachusetts Institute of Technology1996

    Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1996.

    mit Repository record

  2. Deformation quantization for contact interactions and dissipation

    Belchev, Borislav Stefanov, University of Lethbridge. Faculty of Arts and Science2010

    lethbridge

  3. RECURSIVELY GENERATING FORMALITY QUASI-ISOMORPHISMS WITH APPLICATIONS TO DEFORMATION QUANTIZATION

    Schneider, Geoffrey ErnestTemple University. Libraries2017

    … a necessary component of the machinery used in deformation quantization to produce quantized algebras of observables, however they are often constructed via transcendental methods, resulting in computational difficulties and quasi-isomorphisms defined over extensions of Q We will show that these …

    temple Repository record

  4. Genera via Deformation Theory and Supersymmetric Mechanics

    Wilson, Araminta AmabelMassachusetts Institute of Technology2022

    … genera (i.e. cobordism invariants) from the deformation theory in- spired by supersymmetric quantum mechanics. First, we construct a canonical deformation quantization for symplectic supermanifolds. This gives a novel proof of the super-analogue of Fedosov quantization. Our proof uses the …

    mit Repository record

  5. A proof of Tsygan's formality conjecture for an arbitrary smooth manifold

    Dolgushev, Vasiliy AMassachusetts Institute of Technology2005

    … my thesis I apply these results to equivariant quantization, computation of Hochschild homology of quantum algebras and description of traces in deformation quantization.

    mit Repository record

  6. Functional formalism for algebraic classical and quantum field theories

    Moro, AndreaUniversità degli studi di Trento2023

    … field equations. In the second part we implement deformation quantization of the algebras obtained previously in the simpler setting of scalar field theory. Wick powers and time ordered products for quantum field theories in curved spacetimes are defined by giving a set of axioms which, when …

    trento Repository record

  7. Deformation complexes of algebraic operads and their applications

    Paljug, BrianTemple University. Libraries2015

    … is an infinity-morphism. We then investigate the deformation complexes of Cyl(C) and Cobar(C). Our main result is that the restriction maps between between the deformation complexes Der'(Cyl(C)) and Der'(Cobar(C)) are homotopic quasi-isomorphisms of filtered Lie algebras. We show how this result …

    temple Repository record