Dr. Miguel Alejandro Xicoténcatl Merino

Publications

  • On the cohomology of the mapping class group of the punctured projective plane
    M. A. Maldonado, M. A. Xicotencatl. Quarterly Journal of Mathematics 71 (2020), no. 2, 539—555.

  • Configuration spaces and braid groups
    R. Jimenez-Rolland, M. A. Xicotencatl. Snapshots of modern mathematics from Oberwofach (2019), no. 11.

  • A proof of the Adem relations
    A. Guzmán; M. Xicoténcatl. Revista Colombiana de Matemáticas 52 (2018), no. 2, 219—225.

  • The mod 2 cohomology of the mapping class group of the Klein bottle with marked points
    C. Hidber; M. Xicotencatl. J. Pure Appl. Algebra 222 (2018), no. 6, 1478—1488.

  • Characteristic classes of Klein bottle bundles
    C. Hidber; M. Xicotencatl. Topology App. 220 (2017), 1—13.

  • The cohomology ring away from 2 of the configuration space on real projective spaces
    J. González; A. Guzmán; M. Xicoténcatl. Topology App. 194 (2015), 317—348.

  • Orbit configuration spaces.
    M. Xicoténcatl. The influence of Solomon Lefschetz in Geometry and Topology: 50 years of Mathematics at CINVESTAV. Contemp. Math. 621 (2014), 113—132.

  • Topological complexity of motion planning in projective product spaces
    J. González; M. Grant; E. Torres-Giese; M. Xicoténcatl. Algebr. Geom. Topol. 13 (2013), 1027—1047.

  • A basic introduction to 2-dimensional Topological Field Theories
    A. González; E. Lupercio; C. Segovia; M. Xicoténcatl. Aportaciones Matemáticas, Comunicaciones 42 “Las matemáticas a través de los 50 años de la ESFM”. Editores: L. F. Resendiz, L.M. Tovar. Sociedad Matemática Mexicana (2011). 49—78.

  • Orbit configuration spaces associated to discrete subgroups of PSL(2,R)
    F.R. Cohen; T. Kohno; M. Xicoténcatl. J. of Pure and Applied Algebra 213, 12 (2009), 2289—22300.

  • Orbifold string topology
    E. Lupercio; B. Uribe; M. Xicoténcatl. Geometry & Topology 12 (2008), 2203—2247.

  • La topología de los espacios de configuración
    M. Xicoténcatl. Memorias de la XVII Semana Regional de la Investigación y la Docencia en Matemáticas, Universidad de Sonora. Mosaicos Matemáticos No. 20, Agosto 2007, pp. 183—193.

  • Chen-Ruan Cohomology of cotangent orbifolds and Chas-Sullivan string topology
    A. González; E. Lupercio; C. Segovia; B. Uribe; M. Xicoténcatl. Math. Res. Lett. 14 (2007), no. 3, 491—501.

  • The loop orbifold of the symmetric product
    E. Lupercio; B. Uribe; M. Xicoténcatl. J. Pure Appl. Algebra 211 (2007), no. 2, 293—306.

  • On Z/2-equivariant loop spaces
    M. Xicoténcatl. Recent developments in algebraic topology, 183—191, Contemp. Math. 407, 2006.

  • Two-dimensional isotropic harmonic oscillator approach to classical and quantum Stokes parameters
    R. Mota, M. Xicoténcatl and V. Granados. Can. J. Phys./Rev. Can. Phys. 82 (2004), no. 10, 767—773.

  • Jordan-Schwinger map, 3D harmonic oscillator constants of motion, and classical and quantum parameters characterizing electromagnetic wave polarization
    R. Mota; M. Xicoténcatl; V. Granados. J. Phys. A 37 (2004), no. 7, 2835—2842.

  • On the pure braid group of a surface
    M. Xicoténcatl. Bol. Soc. Mat. Mexicana (3) 10 (2004), Special Issue, 525—528.

  • Lie algebras associated to fiber-type arrangements
    D. Cohen; F.R. Cohen; M. Xicoténcatl. Int. Math. Res. Not. 2003, no. 29, 1591—1621.

  • On orbit configuration spaces and the rational cohomology of F(RPn, k)
    M. Xicotencatl. Une dégustation topologique: homotopy theory in the Swiss Alps (Arolla, 1999), 233—249, Contemp. Math. 265, Amer. Math. Soc., Providence, RI, 2000.

  • On orbit configuration spaces associated to the Gaussian integers: homotopy and homology groups
    F.R. Cohen; M. Xicoténcatl. Topology Appl. 118 (2002), no. 1—2, 17—29.

  • Product decomposition of loop spaces of configuration spaces
    M. Xicotencatl. Proceedings of the First Joint Japan-México Meeting in Topology (Morelia, 1999). Topology Appl. 121 (2002), no. 1-2, 33—38.

  • The Lie algebra of the pure braid group
    M. Xicoténcatl. Bol. Soc. Mat. Mexicana (3) 6 (2000), no. 1, 55—62.

  • Los Números de Bernoulli
    M. Xicoténcatl. Carta informative de la Soc. Matemática Mexicana, 1—2. July 1999.

  • On configuration spaces of points and their loop spaces homology
    M. Xicoténcatl. Morfismos 1, No. 1 (1997), 13—26.