Through of a cohomological theory based in the relations between integrating invariants and their different differential operators classes in the field equations as well as of functions inside of the integral geometry are established equivalences among cycles and co-cycles of the closed sub-manifolds, line bundles and contours of the space-time modeled as complex Riemannian manifold obtaining a cohomology of general integrals useful in the evaluation and measurement of fields, particles and physical interactions of diverse nature in field theory. Also are used embeddings of cycles in the complex Riemannian manifold through of the dualities: line bundles with cohomological contours and closed sub-manifolds with cohomological functional to build cohomological spaces of integrals as solution classes of the corresponding field equations.
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Pure and Applied Mathematics Journal (Volume 3, Issue 6-2)
This article belongs to the Special Issue Integral Geometry Methods on Derived Categories in the Geometrical Langlands Program |
DOI | 10.11648/j.pamj.s.2014030602.16 |
Page(s) | 30-37 |
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2014. Published by Science Publishing Group |
Complex Cohomology, Cohomology of Cycles, Cohomological Functional, Integral Operator Cohomology, Integrating Invariants, Integral Topology, Cohomological Classes
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APA Style
Francisco Bulnes, Ronin Goborov. (2014). Integral Geometry and Complex Space-Time Cohomology in Field Theory. Pure and Applied Mathematics Journal, 3(6-2), 30-37. https://doi.org/10.11648/j.pamj.s.2014030602.16
ACS Style
Francisco Bulnes; Ronin Goborov. Integral Geometry and Complex Space-Time Cohomology in Field Theory. Pure Appl. Math. J. 2014, 3(6-2), 30-37. doi: 10.11648/j.pamj.s.2014030602.16
AMA Style
Francisco Bulnes, Ronin Goborov. Integral Geometry and Complex Space-Time Cohomology in Field Theory. Pure Appl Math J. 2014;3(6-2):30-37. doi: 10.11648/j.pamj.s.2014030602.16
@article{10.11648/j.pamj.s.2014030602.16, author = {Francisco Bulnes and Ronin Goborov}, title = {Integral Geometry and Complex Space-Time Cohomology in Field Theory}, journal = {Pure and Applied Mathematics Journal}, volume = {3}, number = {6-2}, pages = {30-37}, doi = {10.11648/j.pamj.s.2014030602.16}, url = {https://doi.org/10.11648/j.pamj.s.2014030602.16}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2014030602.16}, abstract = {Through of a cohomological theory based in the relations between integrating invariants and their different differential operators classes in the field equations as well as of functions inside of the integral geometry are established equivalences among cycles and co-cycles of the closed sub-manifolds, line bundles and contours of the space-time modeled as complex Riemannian manifold obtaining a cohomology of general integrals useful in the evaluation and measurement of fields, particles and physical interactions of diverse nature in field theory. Also are used embeddings of cycles in the complex Riemannian manifold through of the dualities: line bundles with cohomological contours and closed sub-manifolds with cohomological functional to build cohomological spaces of integrals as solution classes of the corresponding field equations.}, year = {2014} }
TY - JOUR T1 - Integral Geometry and Complex Space-Time Cohomology in Field Theory AU - Francisco Bulnes AU - Ronin Goborov Y1 - 2014/12/27 PY - 2014 N1 - https://doi.org/10.11648/j.pamj.s.2014030602.16 DO - 10.11648/j.pamj.s.2014030602.16 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 30 EP - 37 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.s.2014030602.16 AB - Through of a cohomological theory based in the relations between integrating invariants and their different differential operators classes in the field equations as well as of functions inside of the integral geometry are established equivalences among cycles and co-cycles of the closed sub-manifolds, line bundles and contours of the space-time modeled as complex Riemannian manifold obtaining a cohomology of general integrals useful in the evaluation and measurement of fields, particles and physical interactions of diverse nature in field theory. Also are used embeddings of cycles in the complex Riemannian manifold through of the dualities: line bundles with cohomological contours and closed sub-manifolds with cohomological functional to build cohomological spaces of integrals as solution classes of the corresponding field equations. VL - 3 IS - 6-2 ER -