Results 71 to 80 of about 6,340 (111)
Towards Unifying Structures in Higher Spin Gauge Symmetry
Symmetry, Integrability and Geometry: Methods and Applications, 2008 This article is expository in nature, outlining some of the many still incompletely understood features of higher spin field theory. We are mainly considering higher spin gauge fields in their own right as free-standing theoretical constructs and not ...
Anders K.H. Bengtsson
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Quillen homology for operads via Gr\"obner bases [PDF]
, 2013 The main goal of this paper is to present a way to compute Quillen homology of operads. The key idea is to use the notion of a shuffle operad we introduced earlier; this allows to compute, for a symmetric operad, the homology classes and the shape of the
Dotsenko, Vladimir, Khoroshkin, Anton
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The generalized Harer conjecture for the homology triviality
Bulletin of the London Mathematical Society, Volume 56, Issue 5, Page 1879-1895, May 2024.Abstract The classical Harer conjecture states the stable homology triviality of the canonical embedding ϕ:B2g+2↪Γg$\phi: B_{2g+2} \hookrightarrow \Gamma _{g}$, which was proved by Song and Tillmann. The main part of the proof is to show that Bϕ+:BB∞+→BΓ∞+$\operatorname{B}\phi ^{+}: \operatorname{B}B_{\infty }^{+} \rightarrow \operatorname{B}\Gamma _ ...
Wonjun Chang +2 more
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Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds
Journal of Topology, Volume 17, Issue 1, March 2024.Abstract We calculate the rational cohomology of the classifying space of the diffeomorphism group of the manifolds Ug,1n:=#g(Sn×Sn+1)∖int(D2n+1)$U_{g,1}^n:= \#^g(S^n \times S^{n+1})\setminus \mathrm{int}(D^{2n+1})$, for large g$g$ and n$n$, up to degree n−3$n-3$.
Johannes Ebert, Jens Reinhold
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What is an equivalence in a higher category?
Bulletin of the London Mathematical Society, Volume 56, Issue 1, Page 1-58, January 2024.Abstract The purpose of this survey is to present in a uniform way the notion of equivalence between strict n$n$‐categories or (∞,n)$(\infty ,n)$‐categories, and inside a strict (n+1)$(n+1)$‐category or (∞,n+1)$(\infty ,n+1)$‐category.
Viktoriya Ozornova, Martina Rovelli
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Higher Polynomial Identities for Mutations of Associative Algebras. [PDF]
Results Math, 2023 Bremner MR, Brox J, Sánchez-Ortega J.
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Operads for complex system design specification, analysis and synthesis. [PDF]
Proc Math Phys Eng Sci, 2021 Foley JD +3 more
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An algebraic framework for structured epidemic modelling. [PDF]
Philos Trans A Math Phys Eng Sci, 2022 Libkind S +4 more
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Cofibrant operads and universal E∞ operads
Topology and its Applications, 2003 AbstractWe introduce various homotopy structures on the category of operads, which shed some light into the homotopy theoretic nature of the barconstruction WB of an operad, the whiskering process for operads and the Σ-freeness condition. Using the lifting property of cofibrant objects, we construct E∞ operads A which are universal: any E∞-structure ...
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