Results 11 to 20 of about 6,563,661 (318)
Loop Spaces and Representations [PDF]
Duke Mathematical Journal, 2012 We introduce loop spaces (in the sense of derived algebraic geometry) into the representation theory of reductive groups. In particular, we apply the theory developed in our previous paper arXiv:1002.3636 to flag varieties, and obtain new insights into ...
Ben-Zvi, David, Nadler, David
core +5 more sources
Ample Groupoids, Topological Full groups, Algebraic K-theory Spectra and Infinite Loop Spaces [PDF]
Forum of Mathematics, Pi, 2022 Inspired by work of Szymik and Wahl on the homology of Higman–Thompson groups, we establish a general connection between ample groupoids, topological full groups, algebraic K-theory spectra and infinite loop spaces, based on the construction of small ...
Xin Li
doaj +2 more sources
On the infinite loop spaces of algebraic cobordism and the motivic sphere [PDF]
Épijournal de Géométrie Algébrique, 2021 We obtain geometric models for the infinite loop spaces of the motivic spectra $\mathrm{MGL}$, $\mathrm{MSL}$, and $\mathbf{1}$ over a field. They are motivically equivalent to $\mathbb{Z}\times \mathrm{Hilb}_\infty^\mathrm{lci}(\mathbb{A}^\infty ...
Tom Bachmann +5 more
doaj +3 more sources
Loop spaces and connections [PDF]
Journal of Topology, 2010 We examine the geometry of loop spaces in derived algebraic geometry and extend in several directions the well‐known connection between rotation of loops and the de Rham differential.
David Ben-Zvi, D. Nadler
semanticscholar +4 more sources
Spin structures on loop spaces that characterize string manifolds [PDF]
, 2013 Classically, a spin structure on the loop space of a manifold is a lift of the structure group of the looped frame bundle from the loop group to its universal central extension.
Atiyah, Konrad Waldorf, Waldorf, Waldorf
core +3 more sources
An algebraic model for finite loop spaces [PDF]
, 2013 The theory of p-local compact groups, developed in an earlier paper by the same authors, is designed to give a unified framework in which to study the p-local homotopy theory of classifying spaces of compact Lie groups and p-compact groups, as well as ...
Broto, Carles, Levi, Ran, Oliver, Bob
core +2 more sources
Groupoids, Loop Spaces and Quantization of 2-Plectic Manifolds [PDF]
, 2012 We describe the quantization of 2-plectic manifolds as they arise in the context of the quantum geometry of M-branes and non-geometric flux compactifications of closed string theory.
Axenides M. +26 more
core +2 more sources
INTEGRABLE THEORIES AND LOOP SPACES: FUNDAMENTALS, APPLICATIONS AND NEW DEVELOPMENTS [PDF]
International Journal of Modern Physics A, 2009 We review our proposal to generalize the standard two-dimensional flatness construction of Lax–Zakharov–Shabat to relativistic field theories in d+1 dimensions.
Orlando Alvarez +2 more
exaly +2 more sources
Exponential growth in the rational homology of free loop spaces and in torsion homotopy groups [PDF]
Annales de l'Institut Fourier, 2021 Using integral methods we recover and generalize some results by F\'{e}lix, Halperin and Thomas on the growth of the rational homology groups of free loop spaces, and obtain a new family of spaces whose $p$-torsion in homotopy groups grows exponentially ...
R. Huang, S. Theriault
semanticscholar +1 more source
Topological coHochschild homology and the homology of free loop spaces [PDF]
Mathematische Zeitschrift, 2021 We study the homology of free loop spaces via techniques arising from the theory of topological coHochschild homology (coTHH). Topological coHochschild homology is a topological analogue of the classical theory of coHochschild homology for coalgebras. We
A. Bohmann, T. Gerhardt, B. Shipley
semanticscholar +1 more source