A Theorem of Sanderson on Link Bordisms in Dimension 4
Geometric Topology
2014-10-01 v2
Abstract
The groups of link bordism can be identified with homotopy groups via the Pontryagin-Thom construction. B.J. Sanderson computed the bordism group of 3 component surface-links using the Hilton-Milnor Theorem, and later gave a geometric interpretation of the groups in terms of intersections of Seifert hypersurfaces and their framings. In this paper, we geometrically represent every element of the bordism group uniquely by a certain standard form of a surface-link, a generalization of a Hopf link. The standard forms give rise to an inverse of Sanderson's geometrically defined invariant.
Keywords
Cite
@article{arxiv.math/0008099,
title = {A Theorem of Sanderson on Link Bordisms in Dimension 4},
author = {J. Scott Carter and Seiichi Kamada and Masahico Saito and Shin Satoh},
journal= {arXiv preprint arXiv:math/0008099},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-14.abs.html