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Signatures and Nullities of real algebraic curves via plumbing diagrams
by
Patrick M. Gilmer
Louisiana University
Coauthors: Stepan Orevkov
A real algebraic curve is the zero set in the real projective plane of a homogenous polynomial in three variables. A non-singular real algebraic curve consists of a collection of disjoint simple smooth closed curves. Sometimes these curves acquire a semi-orientation from the complex locus of the polynomial in the complex projective plane. Sucn an orientation is called a complex orientation. We evaluate restrictions on these complex orientations arising from a generalization of the Murasugi-Tristram inequality.
Date received: November 29, 2014
Copyright © 2014 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbjz-10.