Exploració per autor "Tonks, Andrew"
Ara es mostren els items 15-29 de 29
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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 ... -
Homotopy linear algebra
Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2016-02)
Report de recerca
Accés obertBy 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 ... -
Homotopy linear algebra
Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2018-04)
Article
Accés obertBy 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 ... -
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 obertIn 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 ... -
The Berkovits complex and semi-free extensions of koszul algebras
Gálvez Carrillo, Maria Immaculada; Gorbounov, V.; Shaikh, Zain; Tonks, Andrew (2016)
Article
Accés restringit per política de l'editorialIn 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 ... -
Thomason cohomology of categories
Gálvez Carrillo, Maria Immaculada; Neumann, Frank; Tonks, Andrew (2013)
Article
Accés obertWe 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 ... -
Thomason cohomology of categories
Gálvez Carrillo, Maria Immaculada; Tonks, Andrew; Neumann, Frank (2012-08)
Report de recerca
Accés obertWe 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 ... -
Three Hopf algebras and their common simplicial and categorical background
Gálvez Carrillo, Maria Immaculada; Kaufmann, Ralph L.; Tonks, Andrew (2016-07)
Report de recerca
Accés obertWe consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebras of Goncharov for multiple zeta values, that of Connes--Kreimer ... -
Three Hopf algebras from number theory, physics & topology, and their common background I: operadic & simplicial aspects
Gálvez Carrillo, Maria Immaculada; Kaufmann, Ralph M.; Tonks, Andrew (2020-01-01)
Article
Accés obertWe consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebra of Goncharov for multiple zeta values, that of Connes-Kreimer ... -
Three Hopf algebras from number theory, physics & topology, and their common background II: general categorical formulation
Gálvez Carrillo, Maria Immaculada; Kaufmann, Ralph M.; Tonks, Andrew (2020-01-01)
Article
Accés obertWe consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebra of Goncharov for multiple zeta values, that of Connes-Kreimer ...