Results 21 to 30 of about 6,340 (111)
Morita homotopy theory for $(\infty,1)$-categories and $\infty$-operads [PDF]
, 2019 We prove the existence of Morita model structures on the categories of small simplicial categories, simplicial sets, simplicial operads and dendroidal sets, modelling the Morita homotopy theory of $(\infty,1)$-categories and $\infty$-operads.
Caviglia, Giovanni +1 more
core +2 more sources
Entropy, 2004 We define heat kernel measure on punctured spheres. The random field which is got by this procedure is not Gaussian. We define a stochastic line bundle on the loop space, such that the punctured sphere corresponds to a generalized parallel transport on ...
Rémi Léandre
doaj +1 more source
Journal of Algebra, 2016 We introduce the notion of operadic torsors and operadic quasi-torsors. We show that if an operadic (quasi-)torsor between two operads exists, then these operads are (quasi-)isomorphic. As an application we present the (arguably) shortest known proof of the Deligne conjecture.
Ricardo Campos, Thomas Willwacher
openaire +4 more sources
Axiomatic homotopy theory for operads [PDF]
, 2002 We give sufficient conditions for the existence of a model structure on operads in an arbitrary symmetric monoidal model category. General invariance properties for homotopy algebras over operads are deduced.Comment: 29 pages, revised for ...
Berger, Clemens, Moerdijk, Ieke
core +5 more sources
Category-colored Operads, Internal Operads, and Markl $\mathbb{O}$-operads
, 2023 We present a Markl-style definition of operads colored by a small category. In the presence of a unit these are equivalent to substitudes of Day and Street. We show that operads colored by a category are internal algebras of a certain categorical operad of functors.
openaire +3 more sources
Moduli Spaces and Formal Operads [PDF]
, 2004 Let overline{M}_{g,n} be the moduli space of stable algebraic curves of genus g with n marked points. With the operations which relate the different moduli spaces identifying marked points, the family (overline{M}_{g,n})_{g,n} is a modular operad of ...
Guillen, F. +3 more
core +6 more sources
The categorical contours of the Chomsky-Sch\"utzenberger representation theorem [PDF]
Logical Methods in Computer ScienceWe develop fibrational perspectives on context-free grammars and on nondeterministic finite-state automata over categories and operads. A generalized CFG is a functor from a free colored operad (aka multicategory) generated by a pointed finite species ...
Paul-André Melliès, Noam Zeilberger
doaj +1 more source
$omega$-Operads of coendomorphisms and fractal $omega$-operads for higher structures [PDF]
Categories and General Algebraic Structures with Applications, 2015 In this article we introduce the notion of textit{Fractal $omega$-operad} emerging from a natural $omega$-operad associated to any coglobular object in the category of higher operads in Batanin's sense, which in fact is a coendomorphism $omega$-operads.
Camell Kachour
doaj
A model structure for coloured operads in symmetric spectra [PDF]
, 2010 We describe a model structure for coloured operads with values in the category of symmetric spectra (with the positive model structure), in which fibrations and weak equivalences are defined at the level of the underlying collections.
A.D. Elmendorf +16 more
core +2 more sources