WebHigher geometric prequantum theory Domenico Fiorenza, Christopher L. Rogers, Urs Schreiber April 7, 2013 Abstract We develop the re nement of geometric prequantum … Web1 de mar. de 2013 · We develop the refinement of geometric prequantum theory to higher geometry (higher stacks), where a prequantization is given by a higher principal …
differential geometry - Gauge theory for mathematicians?
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. Web22 de mar. de 2024 · Higher Prequantum Geometry; By Urs Schreiber; Edited by Mathieu Anel, Carnegie Mellon University, Pennsylvania, Gabriel Catren, Centre National de la … phoenix inn resort
New Spaces in Mathematics : Formal and Conceptual Reflections
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 a local and gauge invariant way, and we survey how a solution to this problem exists in higher differential geometry. In section 2 we survey examples and problems of interest. In … 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. 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 … phoenix inn in thomasville ga