Exploració per tema "Classificació AMS::55 Algebraic topology::55P Homotopy theory"
Ara es mostren els items 1-17 de 17
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A model for non-free circle actions
(1997)
Article
Accés obertLet $\Phi: \Bbb S^{1}\times M\longrightarrow M$ be a smooth action of the unit circle $\Bbb S^{1}$ on a manifold $M$. In this work, we compute the minimal model of $M$ in terms of the orbit space $B$ and the fixed point ... -
An A(infinity)Operad in Spineless Cacti
(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 ... -
An A-infinity operad in spineless cacti
(2015-04-17)
Report de recerca
Accés obertThe 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, ... -
Decomposition spaces and restriction species
(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
(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
(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
(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 I: basic theory
(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
(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
(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
(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 ... -
Homotopy Batalin-Vilkovisky Algebras
(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
(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 linear algebra
(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
(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 ... -
Model categories and cubical descent
(2007-06-12)
Article
Accés obertWe prove that the subcategory of fibrant objects of a simplicial model category is a cohomological descent category, in the sense of Guillén and Navarro, if and only if an acyclicity criterion holds. -
Sullivan minimal models of operad algebras
(2019-01-01)
Article
Accés restringit per política de l'editorialWe prove the existence of Sullivan minimal models of operad algebras for a quite wide family of operads in the category of complexes of vector spaces over a ¿eld of characteristic zero. Our construction is an adaptation ...