|
|||||
|
|
The rack space |
|
| Authors: | Roger Fenn Colin Rourke Brian Sanderson |
| Institution: | Department of Mathematics, University of Sussex, Falmer, Brighton, BN1 9QH, United Kingdom ; Mathematics Institute, University of Warwick, Coventry, CV4 7AL, United Kingdom ; Mathematics Institute, University of Warwick, Coventry, CV4 7AL, United Kingdom |
| Abstract: | The main result of this paper is a new classification theorem for links (smooth embeddings in codimension 2). The classifying space is the rack space and the classifying bundle is the first James bundle. We investigate the algebraic topology of this classifying space and report on calculations given elsewhere. Apart from defining many new knot and link invariants (including generalised James-Hopf invariants), the classification theorem has some unexpected applications. We give a combinatorial interpretation for |
| Keywords: | Classifying space codimension 2 cubical set James bundle link knot $\pi_2$ rack |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文 | |
of a complex which can be used for calculations and some new interpretations of the higher homotopy groups of the 3-sphere. We also give a cobordism classification of virtual links.