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On some generalizations of Tate Cohomology: an overviewOn some generalizations of Tate Cohomology: an overview
(Pontificia Universidad Católica del Perú, 2016)
On some generalizations of Tate Cohomology: an overviewOn some generalizations of Tate Cohomology: an overview
(Pontificia Universidad Católica del PerúPE, 2017)
N-complexes as functors, amplitude cohomology and fusion rules
(Springer, 2007-06)
We consider N-complexes as functors over an appropriate linear category in order to show first that the Krull-Schmidt Theorem holds, then to prove that amplitude cohomology (called generalized cohomology by M. Dubois-Violette) ...
Variations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli Spaces of Holomorphic Triples
(2020)
There is an isomorphism between the moduli spaces of σ-stable holomorphic triples
and some of the critical submanifolds of the moduli space of k-Higgs bundles of
rank three, whose elements (E, ϕk
) correspond to variations ...
Transitionally commutative bundles and characteristic classes
(Medellín - Ciencias - Doctorado en Ciencias - MatemáticasEscuela de matemáticasUniversidad Nacional de Colombia - Sede Medellín, 2020-06-01)
Let p : E ! M be a principal G-bundle, over a manifold M. Assume that we can nd an open cover of M together with trivializations over them in such a way that the corresponding transition functions commute with each other ...
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, ...
On the semistability of instanton sheaves over certain projective varieties
(Taylor & Francis IncPhiladelphiaEUA, 2008)