19 citations · 37 across the 9 of their papers we have counts for
5 papers · 1 filter
Periodicity of the pure mapping class group of non-orientable surfaces
Nestor Colin, Rita Jiménez Rolland, Miguel A. Xicoténcatl
We show that the pure mapping class group of a non-orientable closed surface of genus with marked points has -periodic cohomo…
The Nielsen Realization Problem for Non-Orientable Surfaces
Nestor Colin, Miguel A. Xicoténcatl
We show the Teichmüller space of a non-orientable surface with marked points (considered as a Klein surface) can be identified with a subspace of the Teichmüller space of its orien…
On the cohomology of the mapping class group of the punctured projective plane
Miguel A. Maldonado, Miguel A. Xicoténcatl
The mapping class group of a non-orientable surface with punctures is studied via classical homotopy theory of configuration spaces. In particular, we obtain a non-orien…
Chen-Ruan Cohomology of cotangent orbifolds and Chas-Sullivan String Topology
Ana González, Ernesto Lupercio, Carlos Segovia +2
In this paper we prove that for an almost complex orbifold, its virtual orbifold cohomology [math.AT/0606573] is isomorphic as algebras to the Chen-Ruan orbifold cohomology of its…
The loop orbifold of the symmetric product
Ernesto Lupercio, Bernardo Uribe, Miguel A. Xicoténcatl
By using the loop orbifold of the symmetric product, we give a formula for the Poincaré polynomial of the free loop space of the Borel construction of the symmetric product. We als…