Lagrangian field theories: ind/pro-approach and L∞-algebra of local observables
Lagrangian field theories: ind/pro-approach and L∞-algebra of local observables
dc.contributor.advisor | Teichner, Peter | |
dc.contributor.author | León Delgado, Néstor | |
dc.date.accessioned | 2020-04-25T01:11:55Z | |
dc.date.available | 2020-04-25T01:11:55Z | |
dc.date.issued | 11.05.2018 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/7534 | |
dc.description.abstract | Field Theories in Physics can be formulated giving a local Lagrangian density. Locality is imposed using the infinite jet bundle. That bundle is viewed as a pro-finite dimensional smooth manifold and that point of view has been compared to different topological and Frechét structures on it. A category of local (insular) manifolds has been constructed. Noether's second theorem is reviewed and the notion of Lie pseudogroups is explored using these concepts. The L∞-algebra of local observables is defined depending only on the cohomology of the Lagrangian (using a result in multisymplectic manifold which has been extended to the local category). That local pre-multisymplectic form, called the Poincaré-Cartan can be thought of as a coordinate free, cohomological version of other similar structures in the field. | en |
dc.language.iso | eng | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | Mathematical physics | |
dc.subject | Symplectic geometry | |
dc.subject | Differential geometry | |
dc.subject | Higher differential geometry | |
dc.subject | L-infinity algebra | |
dc.subject | Variational calculus | |
dc.subject | Lagrangian Field theory | |
dc.subject | Observables | |
dc.subject | Frechet geometry | |
dc.subject.ddc | 510 Mathematik | |
dc.title | Lagrangian field theories: ind/pro-approach and L∞-algebra of local observables | |
dc.type | Dissertation oder Habilitation | |
dc.publisher.name | Universitäts- und Landesbibliothek Bonn | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.identifier.urn | https://nbn-resolving.org/urn:nbn:de:hbz:5n-50257 | |
ulbbn.pubtype | Erstveröffentlichung | |
ulbbnediss.affiliation.name | Rheinische Friedrich-Wilhelms-Universität Bonn | |
ulbbnediss.affiliation.location | Bonn | |
ulbbnediss.thesis.level | Dissertation | |
ulbbnediss.dissID | 5025 | |
ulbbnediss.date.accepted | 04.05.2018 | |
ulbbnediss.institute | Angegliederte Institute, verbundene wissenschaftliche Einrichtungen : Max-Planck-Institut für Mathematik | |
ulbbnediss.fakultaet | Mathematisch-Naturwissenschaftliche Fakultät | |
dc.contributor.coReferee | Ballmann, Werner |
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