Higher prequantum geometry
Webwe provide a brief review and outlook of the higher prequantum field theory of which this is a first example. This includes a higher geometric description of supersymmetric Chern-Simons theory, Wilson loops and other defects, generalized geometry, higher Spin structures, anomaly cancellation, and various other aspects of quantum field theory. Web31 de jul. de 2014 · Higher prequantum geometry. January 2016. ... and we survey how a solution to this problem exists in higher differential geometry. In section 2 we survey examples and problems of interest.
Higher prequantum geometry
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Web1. Noncommutative geometry, the spectral standpoint Alain Connes 2. The logic of quantum mechanics (revisited) Klaas Landsman 3. Supergeometry in mathematics and physics Mikhail Kapranov Part II. Symplectic geometry: 4. Derived stacks in symplectic geometry Damien Calaque 5. Higher prequantum geometry Urs Schreiber Part III. Spacetime: 6. WebHis research interests include higher category theory, topos theory, and symplectic geometry. Gabriel Catren is Permanent Researcher at the French National Centre for Scientific Research (CNRS). ... Higher Prequantum Geometry . 202: Spaces as InfinityGroupoids . 258: Struggles with the Continuum . 281: The Logic of Space . 322: 7 …
Web20 de mar. de 2024 · Extended higher cup-product Chern-Simons theories. ∞-Wess-Zumino-Witten theory. The brane bouquet. Obstruction theory for parameterized higher WZW terms. Higher geometric prequantum theory. Classical field theory via Cohesive homotopy types. Local prequantum field theory. L-∞ algebras of local observables from … WebarXiv:1304.0236v1 [math-ph] 31 Mar 2013
Web"Mathematicians have long known that geometry is not absolute. Our understanding of what constitutes a "space" has driven, and been driven by, significant applications inside and outside of mathematics. The workshop "New Spaces in Mathematics and Physics," held in 2015 at the Institut Henri Poincaré, brought together many researchers to discuss … WebThis is a survey of motivations, constructions and applications of higher prequantum geometry. In section 1 we highlight the open problem of prequantizing local field theory in …
Web31 de mar. de 2024 · Higher Prequantum Geometry. March 2024. ... derived symplectic geometry, higher geometric quantization, intuitionistic quantum logic, problems with the continuum description of spacetime, ...
Web2. Higher prequantum geometry over smooth manifolds 5 3. The L∞-algebra of local observables and its KKS L∞-cocycle 7 4. The dg-Lie algebra of infinitesimal quantomorphisms 11 5. Inclusion into Atiyah and Courant L∞-algebras 14 Appendix A. An explicit weak equivalence between L∞(X,ω) and dgLieQu(X,A¯) 20 Appendix B. scenic stage setsWeb19 de mai. de 2016 · Part 1: Higher Prequantum Geometry I: The Need for Prequantum Geometry Part 2: Higher Prequantum Geometry II: The Principle of Extremal Action – … run very fastWeb31 de mar. de 2013 · Finally we indicate a list of examples of applications of higher prequantum theory in the extended geometric quantization of local quantum field … scenic studios backdrop hireWeb7 de abr. de 2024 · Part 4: Higher Prequantum Geometry I: The Need for Prequantum Geometry Part 5: Higher Prequantum Geometry II: The Principle of Extremal Action – … run vhd in vmware workstationWeb1. Noncommutative geometry, the spectral standpoint Alain Connes 2. The logic of quantum mechanics (revisited) Klaas Landsman 3. Supergeometry in mathematics and physics Mikhail Kapranov Part II. Symplectic geometry: 4. Derived stacks in symplectic geometry Damien Calaque 5. Higher prequantum geometry Urs Schreiber Part III. Spacetime: 6. run veracrypt on flash driveWebThis volume covers a broad range of topics in mathematical physics, including noncommutative geometry, supergeometry, derived symplectic geometry, higher … scenic stroll from the spanish nytWeb28 de out. de 2015 · 4. I have been writing something in this direction in section 1 of the book Differential cohomology in a Cohesive topos ( pdf ). Have a look, just focus on section 1 and ignore the remaining sections on first reading. The survey-part is presently also appearing as a series on PhysicsForums. See at Higher prequantum geometry I, II, III, … run vhdx on vmware