Commenced in January 2007
Paper Count: 32579
Topological Quantum Diffeomorphisms in Field Theory and the Spectrum of the Space-Time
Authors: Francisco Bulnes
Abstract:Through the Fukaya conjecture and the wrapped Floer cohomology, the correspondences between paths in a loop space and states of a wrapping space of states in a Hamiltonian space (the ramification of field in this case is the connection to the operator that goes from TM to T*M) are demonstrated where these last states are corresponding to bosonic extensions of a spectrum of the space-time or direct image of the functor Spec, on space-time. This establishes a distinguished diffeomorphism defined by the mapping from the corresponding loops space to wrapping category of the Floer cohomology complex which furthermore relates in certain proportion D-branes (certain D-modules) with strings. This also gives to place to certain conjecture that establishes equivalences between moduli spaces that can be consigned in a moduli identity taking as space-time the Hitchin moduli space on G, whose dual can be expressed by a factor of a bosonic moduli spaces.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1130097Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 911
 F. Bulnes, “Integral Geometry Methods in the Geometrical Langlands Program”, SCIRP, USA, 2016.
 F. Bulnes, “Geometrical Langlands Ramifications and Differential Operators Classification by Coherent D-Modules in Field Theory,” Journal of Mathematics and System Science, 3, no. 10, 2013, USA, pp491-507.
 Bulnes, F. (2014) Derived Categories in Langlands Geometrical Ramifications: Approaching by Penrose Transforms. Advances in Pure Mathematics, 4, 253-260. doi: 10.4236/apm.2014.46034.
 J. Milnor, “On spaces having the homotopy type of a CW-complex” Trans. Amer. Math. Soc. 90 (1959), 272–280.
 F.Bulnes, Penrose Transform on D-Modules, Moduli Spaces and Field Theory, Advances in Pure Mathematics, 2012, 2(6), pp. 379-390.
 M. Ramírez, L. Ramírez, O. Ramírez, F. Bulnes, “Field Ramifications: The Energy-Vacuum Interaction that Produces Movement,” Journal on Photonics and Spintronics, Vol. 2, no. 3, USA, 2013, pp4-11.
 F. Bulnes (2013). Quantum Intentionality and Determination of Realities in the Space-Time Through Path Integrals and Their Integral Transforms, Advances in Quantum Mechanics, Prof. Paul Bracken (Ed.), ISBN: 978-953-51-1089-7, InTech, DOI: 10.5772/53439. Published from 03/04/2013: http://www.intechopen.com/books/advances-in-quantum-mechanics/quantum-intentionality-and-determination-of-realities-in-the-space-time-through-path-integrals-and-t.
 K. Fukaya, Floer Homology and Mirror Symmetry I, Department of Mathematics, Faculty of Science, Kyoto University, Kitashirakawa, Kyoto, 606-8224, Japan.
 A. Abbondandolo, M. Schwarz, “Floer homology of cotangent bundle and the loop product,” Geom. Top. 14 (2010), no. 3, 1569-1722.
 A. Kapustin, M. Kreuser and K. G. Schlesinger, Homological mirror symmetry: New Developments and Perspectives, Springer. Berlin, Heidelberg, 2009.
 D. Eisenbud: J. Harris (1998). The Geometry of Schemes. Springer-Verlag, USA.
 I. Verkelov, Commutative Schemes of Rings and Koszul Dualities to Integral Geometry, Journal of Mathematics, Vol. 1 Issue 1, pp. 1-5.
 F. Bulnes, Integral Geometry Methods on Derived Categories in Field Theory II, Pure and Applied Mathematics Journal, Special Issue: Integral Geometry Methods on Derived Categories in the Geometrical Langlands Program, 2014, 3(6-2), pp. 1-5.
 Blumenhagen, Ralph; Lüst, Dieter; Theisen, Stefan (2012), Basic Concepts of String Theory, Theoretical and Mathematical Physics, Springer, p. 487, "Orbifolds can be viewed as singular limits of smooth Calabi–Yau manifolds".
 N. Hitchin (2003), "Generalized Calabi–Yau manifolds", The Quarterly Journal of Mathematics 54 (3): 281–308.
 F. Bulnes, “Integral geometry methods on deformed categories to geometrical Langlands ramifications in field theory,” Ilirias Journal of Mathematics, Vol 3, Issue 1 (2014) pp. 1-13.
 R. M. Switzer, Homotopy and Homology. Springer, 2nd Edition, 1975.