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.
Citation
J Scott Carter. Seiichi Kamada. Masahico Saito. Shin Satoh. "A theorem of Sanderson on link bordisms in dimension 4." Algebr. Geom. Topol. 1 (1) 299 - 310, 2001. https://doi.org/10.2140/agt.2001.1.299
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