Results 31 to 40 of about 6,563,661 (318)
Modules over algebraic cobordism
Forum of Mathematics, Pi, 2020 We prove that the $\infty $-category of $\mathrm{MGL} $-modules over any scheme is equivalent to the $\infty $-category of motivic spectra with finite syntomic transfers. Using the recognition principle for infinite $\mathbf{P} ^1$-loop spaces, we deduce
Elden Elmanto +4 more
doaj +1 more source
Spherical classes in some finite loop spaces of spheres [PDF]
, 2016 Working at the prime $2$, Curtis conjecture predicts that, in positive dimensions, spherical classes in $H_*QS^0$ only arise from Hopf invariant one and Kervaire invariant one elements.
Hadi Zare
semanticscholar +1 more source
A survey of homotopy nilpotency and co-nilpotency
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 We review known and state some new results on homotopy nilpotency and co-nilpotency of spaces. Next, we take up the systematic study of homotopy nilpotency of homogenous spaces G/K for a Lie group G and its closed subgroup K < G.
Marek Golasinski
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Infinite loop spaces and nilpotent K-theory [PDF]
, 2015 Using a construction derived from the descending central series of the free groups, we produce filtrations by infinite loop spaces of the classical infinite loop spaces $BSU$, $BU$, $BSO$, $BO$, $BSp$, $BGL_{\infty}(R)^{+}$ and $Q_0(\mathbb{S}^{0})$.
A. Adem +3 more
semanticscholar +1 more source
On loop spaces of configuration spaces [PDF]
Transactions of the American Mathematical Society, 2002 This article gives an analysis of topological and homological properties for loop spaces of configuration spaces. The main topological results are given by certain choices of product decompositions of these spaces, as well as “twistings" between the factors.
Cohen, F. R., Gitler, S.
openaire +1 more source
Architecture and Knowledge-Driven Self-Adaptive Security in Smart Space
Computers, 2013 Dynamic and heterogeneous smart spaces cause challenges for security because it is impossible to anticipate all the possible changes at design-time. Self-adaptive security is an applicable solution for this challenge. This paper presents an architectural
Antti Evesti +2 more
doaj +1 more source
String geometry vs. spin geometry on loop spaces [PDF]
, 2014 We introduce various versions of spin structures on free loop spaces of smooth manifolds, based on a classical notion due to Killingback, and additionally coupled to two relations between loops: thin homotopies and loop fusion. The central result of this
K. Waldorf
semanticscholar +1 more source
Stochastic processes on totally disconnected topological groups
International Journal of Mathematics and Mathematical Sciences, 2003 Stochastic processes on totally disconnected topological groups are investigated. In particular, they are considered for diffeomorphism groups and loop groups of manifolds on non-Archimedean Banach spaces.
S. V. Ludkovsky
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Homotopy nilpotent groups [PDF]
, 2007 We study the connection between the Goodwillie tower of the identity and the lower central series of the loop group on connected spaces. We define the simplicial theory of homotopy n-nilpotent groups. This notion interpolates between infinite loop spaces
Arone +11 more
core +4 more sources
Exotic Twisted Equivariant Cohomology of Loop Spaces, Twisted Bismut–Chern Character and T-Duality [PDF]
, 2014 We define exotic twisted$${\mathbb{T}}$$T-equivariant cohomology for the loop space LZ of a smooth manifold Z via the invariant differential forms on LZ with coefficients in the (typically non-flat) holonomy line bundle of a gerbe, with differential an ...
F. Han, V. Mathai
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