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Algebraic kk-theory and the KH-isomorphism conjecture
(arXiv, 2022)
We relate the Davis-Lück homology with coefficients in Weibel's homotopy K-theory to the equivariant algebraic kk-theory using homotopy theory and adjointness theorems. We express the left hand side of the assembly map for ...
Invariant theory and reversible-equivariant vector fields
(ELSEVIER SCIENCE BV, 2009)
In this paper we present results for the systematic study of reversible-equivariant vector fields - namely, in the simultaneous presence of symmetries and reversing symmetries - by employing algebraic techniques from ...
FINITE- DIMENSIONAL REPRESENTATIONS OF TWISTED HYPER- LOOP ALGEBRAS
(Taylor & Francis IncPhiladelphiaEUA, 2014)
Bourgin-Yang version of the Borsuk-Ulam theorem for Z(pk)-equivariant maps
(GEOMETRY & TOPOLOGY PUBLICATIONSCONVENTRY, 2012)
Let G = Z(pk) be a cyclic group of prime power order and let V and W be orthogonal representations of G with V-G = W-G = W-G = {0}. Let S(V) be the sphere of V and suppose f: S(V) -> W is a G-equivariant mapping. We ...
The sigma-isotypic decomposition and the sigma-index of reversible-equivariant systems
(ELSEVIER SCIENCE BVAMSTERDAM, 2012)
This work is concerned with dynamical systems in presence of symmetries and reversing symmetries. We describe a construction process of subspaces that are invariant by linear Gamma-reversible-equivariant mappings, where ...
Poincaré duality in equivariant intersection theoryPoincaré duality in equivariant intersection theory
(Pontificia Universidad Católica del PerúPE, 2017)
Categorification of Chern-Weil theory and equivariant cohomology
(Universidad Nacional de ColombiaMedellín - Ciencias - Doctorado en Ciencias - MatemáticasFacultad de CienciasMedellín, ColombiaUniversidad Nacional de Colombia - Sede Medellín, 2022-06-28)
Esta tesis contempla la generalización de resultados de geomtría diferencial clásica en el contexto de los sistemas locales
homotópicos. En particular, se realiza la construcción del homomorfismo de Chern-Weil y el teorema ...