Real algebraic curves and link cobordism

Patrick Gilmer

Vol. 153 (1992), No. 1, 31–69

DOI: 10.2140/pjm.1992.153.31

Abstract

If A is a nonsingular real algebraic curve of degree m, we show that there is a link cobordism of specified topological type between a link which depends only on the isotopy type of A and a link which depends only on m. We prove a generalization of the Tristram-Murasugi inequalities for link cobordisms and apply it to this situation.

Mathematical Subject Classification 2000

Primary: 57M25

Secondary: 14H45, 57N70

Milestones

Received: 20 August 1990

Revised: 20 February 1991

Published: 1 March 1992