Now showing items 1-12 of 12

  • André spectral sequences for Baues-Wirsching cohomology of categories 

    Gálvez Carrillo, Maria Immaculada; Neumann, Frank; Tonks, Andrew (2011-12-16)
    Other
    Open Access
    We construct spectral sequences in the framework of Baues-Wirsching cohomology and homology for functors between small categories and analyze particular cases including Grothendieck fibrations. We also give applications ...
  • André spectral sequences for Baues–Wirsching cohomology of categories 

    Gálvez Carrillo, Maria Immaculada; Neumann, Frank; Tonks, Andrew (2012-04-30)
    Article
    Restricted access - publisher's policy
    We construct spectral sequences in the framework of Baues–Wirsching cohomology and homology for functors between small categories and analyze particular cases including Grothendieck fibrations. We also give applications ...
  • Decomposition spaces, incidence algebras and Möbius inversion 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2014-04-11)
    External research report
    Open Access
  • Differential operators and the Witten genus for projective spaces and Milnor manifolds 

    Gálvez Carrillo, Maria Immaculada; Tonks, Andrew (2003)
    Article
    Open Access
    A $genus$ (in the sense of Hirzebruch [4]) is a multiplicative invariant of cobordism classes of manifolds. Classical examples include the numerical invariants given by the signature and the $\widehat{A}$- and Todd genera. ...
  • Estructuras A-infinito en la opérada de cactus 

    Gálvez Carrillo, Maria Immaculada; Lombardi, Leandro; Tonks, Andrew (2012)
    Conference lecture
    Restricted access - publisher's policy
    Diversas versiones de la opérada de cactus inicialmente definida por Voronov han sido estudiadas. Es conocida su equivalencia débil con la opérada de pequeños discos. Se conoce pues que la opérada de cactus admite una ...
  • Groupoids and Faà di Bruno Formulae for green functions in bialgebras of trees 

    Gálvez Carrillo, Maria Immaculada; Tonks, Andrew; Kock, Joachim (2012-07)
    External research report
    Open Access
    We prove a Faa di Bruno formula for the Green function in the bialgebra of P-trees, for any polynomial endofunctor P. The formula appears as relative homotopy cardinality of an equivalence of groupoids. For suitable choices ...
  • Groupoids and Faà di Bruno formulae for Green functions in bialgebras of trees 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2014)
    Article
    Restricted access - publisher's policy
    We prove a Faà di Bruno formula for the Green function in the bialgebra of P-trees, for any polynomial endofunctor P. The formula appears as relative homotopy cardinality of an equivalence of groupoids.
  • Homotopy Batalin-Vilkovisky Algebras 

    Gálvez Carrillo, Maria Immaculada; Tonks, Andrew; Vallette, Bruno (2012)
    Article
    Open Access
    This paper provides an explicit cofibrant resolution of the operad encoding Batalin-Vilkovisky algebras. Thus it defines the notion of homotopy Batalin-Vilkovisky algebras with the required homotopy properties. To define ...
  • Homotopy Batalin-Vilkovisky algebras 

    Gálvez Carrillo, Maria Immaculada; Tonks, Andrew; Vallette, Bruno (2011-03-30)
    Other
    Open Access
    This paper provides an explicit cofibrant resolution of the operad encoding Batalin-Vilkovisky algebras. Thus it defines the notion of homotopy Batalin-Vilkovisky algebras with the required homotopy properties. To define ...
  • Homotopy Gerstenhaber structures and vertex algebras 

    Gálvez Carrillo, Maria Immaculada; Gorbounov, V.; Tonks, Andrew (2010)
    Article
    Open Access
    We provide a simple construction of a G∞-algebra structure on an important class of vertex algebras V, which lifts the Gerstenhaber algebra structure on BRST cohomology of V introduced by Lian and Zuckerman. We outline two ...
  • Thomason cohomology of categories 

    Gálvez Carrillo, Maria Immaculada; Tonks, Andrew; Neumann, Frank (2012-08)
    External research report
    Open Access
    We introduce cohomology and homology theories for small categories with general coefficient systems from simplex categories first studied by Thomason. These theories generalize at once Baues-Wirsching cohomology and homology ...
  • Thomason cohomology of categories 

    Gálvez Carrillo, Maria Immaculada; Neumann, Frank; Tonks, Andrew (2013)
    Article
    Open Access
    We investigate cohomology and homology theories of categories with general coefficients given by functors on simplex categories first studied by Thomason. These generalize Baues–Wirsching cohomology and homology of a small ...