Exploració per autor "Tonks, Andrew"
Ara es mostren els items 1-20 de 29
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An A(infinity)Operad in Spineless Cacti
Gálvez Carrillo, Maria Immaculada; Lombardi, Leandro; Tonks, Andrew (2015-11-01)
Article
Accés obertThe dg operad of cellular chains on the operad of spineless cacti of Kaufmann (Topology 46(1):39-88, 2007) is isomorphic to the Gerstenhaber-Voronov dg operad codifying the cup product and brace operations on the Hochschild ... -
André spectral sequences for Baues-Wirsching cohomology of categories
Gálvez Carrillo, Maria Immaculada; Neumann, Frank; Tonks, Andrew (2011-12-16)
Altres
Accés obertWe 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
Accés restringit per política de l'editorialWe 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 and restriction species
Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (Oxford University Press, 2020-11)
Article
Accés obertWe show that Schmitt’s restriction species (such as graphs, matroids, posets, etc.) naturally induce decomposition spaces (a.k.a. unital 2-Segal spaces), and that their associated coalgebras are an instance of the general ... -
Decomposition spaces in combinatorics
Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2016-12)
Report de recerca
Accés obertA decomposition space (also called unital 2-Segal space) is a simplicial object satisfying an exactness condition weaker than the Segal condition: just as the Segal condition expresses (up to homotopy) composition, the new ... -
Decomposition spaces, incidence algebras and Mobius inversion II: Completeness, length filtration, and finiteness
Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2018-07-31)
Article
Accés obertThis is the second in 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 ... -
Decomposition spaces, incidence algebras and Mobius inversion III: the decomposition space of Möbius intervals
Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2018-08-20)
Article
Accés obertDecomposition 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 (CULF) between decomposition spaces induce ... -
Decomposition spaces, incidence algebras and Möbius inversion
Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2014-04-11)
Report de recerca
Accés obert -
Decomposition spaces, incidence algebras and Möbius inversion I: basic theory
Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2018-06-20)
Article
Accés obertThis 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 ... -
Decomposition spaces, incidence algebras and Möbius inversion I: basic theory
Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2015-12)
Report de recerca
Accés obertThis 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 ... -
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 obertThis 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 III: the decomposition space of Möbius intervals
Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2015-12)
Report de recerca
Accés obertDecomposition 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 ... -
Differential operators and the Witten genus for projective spaces and Milnor manifolds
Gálvez Carrillo, Maria Immaculada; Tonks, Andrew (2003)
Article
Accés obertA $genus$ (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)
Comunicació de congrés
Accés restringit per política de l'editorialDiversas 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 ... -
Gabriel–Zisman cohomology and spectral sequences
Gálvez Carrillo, Maria Immaculada; Neumann, Frank; Tonks, Andrew (Springer Nature, 2021-02-10)
Article
Accés obertExtending constructions by Gabriel and Zisman, we develop a functorial framework for the cohomology and homology of simplicial sets with very general coefficient systems given by functors on simplex categories into abelian ... -
Groupoids and Faà di Bruno formulae for Green functions in bialgebras of trees
Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2014)
Article
Accés restringit per política de l'editorialWe 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. -
Groupoids and Faà di Bruno Formulae for green functions in bialgebras of trees
Gálvez Carrillo, Maria Immaculada; Tonks, Andrew; Kock, Joachim (2012-07)
Report de recerca
Accés obertWe 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 ... -
Homotopy Batalin-Vilkovisky Algebras
Gálvez Carrillo, Maria Immaculada; Tonks, Andrew; Vallette, Bruno (2012)
Article
Accés obertThis 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)
Altres
Accés obertThis 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
Accés obertWe 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 ...