Research

Second page of the spectral sequence associate

Second page of the Leray-Serre spectral sequence associate to the fibration with base the classifying space of the mcg of the Klein bottle and fiber the classifying space the diffeomorphisms isotopic to the identity map.

Research interest:

Algebraic Topology
Geometric group theory
Mapping class groups
Cohomology of groups

Preprints

2. First integral cohomology group of the pure mapping class group of a non-orientable surface of infinite type. Joint with Jesús Hernández Hernández. (arXiv)

1. On the dimension of the mapping class groups of a non-orientable surface. Joint with Luis Jorge Sanchez Saldaña and Alejandra Trujillo-Negrete. To appear in Homology, homotopy and applications. (arXiv).

Publications

4. The algebraic K-theory of the group ring of the Klein bottle group . Joint with Daniel Juan-Pineda. Topology Appl. 293 (2021), Special issue in honor of Daciberg Lima Goncalves' 70th Birthday. (article)

3. The mod 2 cohomology of the mapping class group of the Klein bottle with marked points. Joint with Miguel A. Xicoténcatl. J. Pure Appl. Algebra 222 (2018), no. 6, 1478-1488. (article)

2. Characteristic classes of Klein bottle bundles. Joint with Miguel A. Xicoténcatl. Topology Appl. 220 (2017), 1-13. (article)

1. Motion planning in tori reviseted. Joint with J. González, B. Gutiérrez, A. Guzmán, M. Mendoza and C. Roque. Morfismos 19 (2015), no. 7-18.

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