Zobrazeno 1 - 10
of 86
pro vyhledávání: '"Alberto S. Cattaneo"'
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2010 (2010)
Given a symplectic manifold M, we may define an operad structure on the the spaces Ok of the Lagrangian submanifolds of (M¯)k×M via symplectic reduction. If M is also a symplectic groupoid, then its multiplication space is an associative product in
Externí odkaz:
https://doaj.org/article/e52427db8fe44dfba83378d471146c21
Publikováno v:
Pacific Journal of Mathematics. 312:355-399
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 wave front map becomes a functor into the cotangent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50e9c8e01473142e71f37f0ddfec6c71
https://doi.org/10.2140/pjm.2021.312.355
https://doi.org/10.2140/pjm.2021.312.355
Autor:
Alberto S. Cattaneo, Tatsuro Shimizu
Publikováno v:
Quantum Topology. 12:111-127
In this note, we revisit the $\Theta$-invariant as defined by R. Bott and the first author. The $\Theta$-invariant is an invariant of rational homology 3-spheres with acyclic orthogonal local systems, which is a generalization of the 2-loop term of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb671eb85bc142eebbb36136d94822b5
https://doi.org/10.4171/qt/146
https://doi.org/10.4171/qt/146
Publikováno v:
Communications in Mathematical Physics. 375:41-103
We construct a formal global quantization of the Poisson Sigma Model in the BV-BFV formalism using the perturbative quantization of AKSZ theories on manifolds with boundary and analyze the properties of the boundary BFV operator. Moreover, we conside
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca9d8c9b741f229a02cfcb9e0847c9da
https://doi.org/10.1007/s00220-020-03726-z
https://doi.org/10.1007/s00220-020-03726-z
Autor:
Alberto S. Cattaneo
This is a didactical review on the canonical BV Laplacian on half-densities.
Comment: 20 pages. Minor style improvements
Comment: 20 pages. Minor style improvements
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ec8d7e7a81ae24b5970fc42e8e2e2df
Publikováno v:
Letters in Mathematical Physics. 110:695-711
We discuss observables of an equivariant extension of the A-model in the framework of the AKSZ construction. We introduce the A-model observables, a class of observables that are homotopically equivalent to the canonical AKSZ observables but are bett
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7657b0cfbef61a6ae045c0f3f80b861c
https://doi.org/10.1007/s11005-019-01236-1
https://doi.org/10.1007/s11005-019-01236-1
We study an equivariant extension of the Batalin-Vilkovisky formalism for quantizing gauge theories. Namely, we introduce a general framework to encompass failures of the quantum master equation, and we apply it to the natural equivariant extension o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e501256a42dbb1659b7028742253ac1
https://www.zora.uzh.ch/id/eprint/190457/
https://www.zora.uzh.ch/id/eprint/190457/
Autor:
Alberto S. Cattaneo, Nima Moshayedi
These notes give an introduction to the mathematical framework of the Batalin-Vilkovisky and Batalin-Fradkin-Vilkovisky formalisms. Some of the presented content was given as a mini course by the first author at the 2018 QSPACE conference in Benasque
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92b078b0f8a8e20e108cd5c6413d39b9
https://doi.org/10.5167/uzh-187458
https://doi.org/10.5167/uzh-187458
Publikováno v:
Letters in Mathematical Physics. 108:1873-1884
The triadic description of General Relativity in three dimensions is known to be a BF theory. Diffeomorphisms, as symmetries, are easily re- covered on shell from the symmetries of BF theory. This note describes an explicit off-shell BV symplectomorp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb461f974f6606158af90c74dbf01e84
https://doi.org/10.1007/s11005-018-1060-5
https://doi.org/10.1007/s11005-018-1060-5
Publikováno v:
Communications in Mathematical Physics, 357(2), 631-730. Springer New York
Communications in Mathematical Physics
Communications in Mathematical Physics
This paper introduces a general perturbative quantization scheme for gauge theories on manifolds with boundary, compatible with cutting and gluing, in the cohomological symplectic (BV-BFV) formalism. Explicit examples, like abelian BF theory and its
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b4a7a78ce1557243c94a06397fe7701
https://doi.org/10.1007/s00220-017-3031-6
https://doi.org/10.1007/s00220-017-3031-6