On the mapping space homotopy groups and the free loop space homology groups
نویسندگان
چکیده
منابع مشابه
On Braid Groups, Free Groups, and the Loop Space of the 2-sphere
The purpose of this article is to describe a connection between the single loop space of the 2-sphere, Artin’s braid groups, a choice of simplicial group whose homotopy groups are given by modules called Lie(n), as well as work of Milnor [17, 18], and Habegger-Lin [11, 15] on “homotopy string links”. The novelty of the current article is a description of connections between these topics. 1. A t...
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The purpose of this article is to describe connections between the loop space of the 2-sphere, and Artin’s braid groups. The current article exploits Lie algebras associated to Vassiliev invariants in work of T. Kohno [19, 20], and provides connections between these various topics. Two consequences are as follows: (1) the homotopy groups of spheres are identified as “natural” sub-quotients of f...
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The purpose of this article is to describe connections between the loop space of the 2-sphere, Artin’s braid groups, a choice of simplicial group whose homotopy groups are given by modules called Lie(n), as well as work of Milnor [25], and Habegger-Lin [17, 22] on ”homotopy string links”. The current article exploits Lie algebras associated to Vassiliev invariants in work of T. Kohno [19, 20], ...
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Using contact homology, we reobtain some recent results of Geiges and Gonzalo about the fundamental group of the space of contact structures on some 3-manifolds. We show that our techniques can be used to study higherdimensional contact manifolds and higher order homotopy groups.
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2011
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2011.11.2369