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Involutions fixing F-n U F-3
(Elsevier B.V., 2018-04-01)
Let Mm be a closed smooth manifold equipped with a smooth involution having fixed point set of the form F-n U F-3, where F-n and F-3 are submanifolds with dimensions n and 3, respectively, where 3 < n < m and with the ...
Possible quantum algorithm for the Lipshitz-Sarkar-Steenrod square for Khovanov homology
(SPIE-INT SOC OPTICAL ENGINEERING, 2013-01-01)
Recently the celebrated Khovanov Homology was introduced as a target for Topological Quantum Computation given that the Khovanov Homology provides a generalization of the Jones polynomal and then it is possible to think ...
Ordinary and twisted K-theory
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2022-03-28)
The main topic of this thesis consists in Ordinary and Twisted Topological K-Theory. We begin by describing generalized cohomology theories through the Eilenberg-Steenrod Axioms, in order to set Ordinary K-Theory in these ...
Traces in symmetric monoidal categories
(Medellín - Ciencias - Maestría en Ciencias - MatemáticasEscuela de matemáticasUniversidad Nacional de Colombia - Sede Medellín, 2019-09-13)
The objective of this work is to generalize basic ideas from linear algebra and topology, such as traces and fixed points, into a categorical context. Each of those generalizations has important objects and ideas behind, ...