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Equivariant semi-topological K-homology and a theorem of Thomason
Equivariant semi-topological K-homology a theorem of Thomason K-Theory and Homology
2012/6/19
We generalize several comparison results between algebraic, semi-topological and topological K-theories to the equivariant case with respect to a finite group. Moreover, we show that Walker's theorem ...
Assembly maps with coefficients in topological algebras and the integral K-theoretic Novikov conjecture
topological algebras the integral K-theoretic Novikov conjecture K-Theory and Homology Algebraic Topology
2011/9/2
Abstract: We prove that any countable discrete and torsion free subgroup of a general linear group over an arbitrary field or a similar subgroup of an almost connected Lie group satisfies the integral...
Computing the topological entropy of unimodal maps
Topological entropy interval maps symbolic dynamics
2011/3/2
We derive an algorithm to determine recursively the lap number (minimal number of monotone pieces) of the iterates of unimodal maps of an interval with free end-points. The algorithm
is obtained by t...
Topological transitive Abelian subgrouns of GL(n,R)
Topological Abelian subgrouns of GL(n,R)
2010/11/8
We give a complete characterization of abelian subgroups of GL(n, R) with a locally dense (resp. dense) orbit in R^n. For finitely generated subgroups, this characterization is explicit and it is used...
It is known that viewing the fundamental group 1(X) as the quotient space of X does not always give rise to a topological group.
The Kontsevich constants for the volume of the moduli of curves and topological recursion
Kontsevich constants volume of the moduli of curves topological recursion
2010/12/3
We give an Eynard-Orantin type topological recursion formula for the canonical Euclidean
volume of the combinatorial moduli space of pointed smooth algebraic curves. The recursion
comes from the edg...