Calculus of the embedding functor and spaces of knots

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We give an overview of how calculus of the embedding functor can be used for the study of long knots and summarize various results connecting the calculus approach to the rational homotopy type of spaces of long knots, collapse of the Vassiliev spectral sequence, Hochschild homology of the Poisson operad, finite type knot invariants, etc. Some open questions and conjectures of interest are given throughout.
A survey prepared for the AIM Workshop On Moduli Spaces of Knots

Keywords

Algebraic Topology, Geometric Topology, 57Q45; 55P26

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/107511

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601268
 http://arxiv.org/abs/math/0601268

Collections

arXiv