Enviaments recents

  • Non-commutative integrable systems on b-symplectic manifolds 

    Miranda Galcerán, Eva; Kiesenhofer, Anna (2016)
    Report de recerca
    Accés obert
    In this paper we study non-commutative integrable systems on b-Poisson manifolds. One important source of examples (and motiva- tion) of such systems comes from considering non-commutative systems on manifolds with ...
  • Examples of integrable and non-integrable systems on singular symplectic manifolds 

    Delshams Valdés, Amadeu; Miranda Galcerán, Eva; Kiesenhofer, Anna (2016-12)
    Report de recerca
    Accés obert
    We present a collection of examples borrowed from celes- tial mechanics and projective dynamics. In these examples symplectic structures with singularities arise naturally from regularization trans- formations, Appell's ...
  • Homotopy linear algebra 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2016-02)
    Report de recerca
    Accés obert
    By homotopy linear algebra we mean the study of linear functors between slices of the 8-category of 8-groupoids, subject to certain finiteness conditions. After some standard definitions and results, we assemble said slices ...
  • Decomposition spaces, incidence algebras and Möbius inversion III: the decomposition space of Möbius intervals 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2015-12)
    Report de recerca
    Accés obert
    Decomposition spaces are simplicial 8-groupoids subject to a certain exactness condition, needed to induce a coalgebra structure on the space of arrows. Conservative ULF functors between decomposition spaces induce coalgebra ...
  • Decomposition spaces, incidence algebras and Möbius inversion II: completeness, length filtration, and finiteness 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2015-12)
    Report de recerca
    Accés obert
    This is part 2 of a trilogy of papers introducing and studying the notion of decomposition space as a general framework for incidence algebras and Möbius inversion, with coefficients in 8-groupoids. A decomposition space ...
  • Decomposition spaces, incidence algebras and Möbius inversion I: basic theory 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2015-12)
    Report de recerca
    Accés obert
    This is the first in a series of papers devoted to the theory of decomposition spaces, a general framework for incidence algebras and Möbius inversion, where algebraic identities are realised by taking homotopy cardinality ...
  • The Berkovits complex and semi-free extensions of Koszul algebras 

    Gálvez Carrillo, Maria Immaculada; Gorbounov, V.; Shaikh, Zain; Tonks, Andrew (2015-08-18)
    Report de recerca
    Accés obert
    In his extension of W. Siegel's ideas on string quantization, N. Berkovits made several observations which deserve further study and development. Indeed, interesting accounts of this work have already appeared in the ...
  • Weakly hamiltonian actions 

    Miranda Galcerán, Eva; Martinez Torres, David (2016-02-12)
    Report de recerca
    Accés obert
  • An A-infinity operad in spineless cacti 

    Gálvez Carrillo, Maria Immaculada (2015-04-17)
    Report de recerca
    Accés obert
    The d.g. operad C of cellular chains on the operad of spineless cacti is isomorphic to the Gerstenhaber-Voronov operad codifying the cup product and brace operations on the Hochschild cochains of an associative algebra, ...
  • Positivity properties of relative complete intersections 

    Barja Yáñez, Miguel Ángel; Stoppino, Lidia (2014-10)
    Report de recerca
    Accés obert
    We give conditions for f-positivity of relative complete intersections in projective bundles. We also derive an instability result for the fibres.

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