Plane real algerbaic curves of odd degree with a deep nest

Details Plane real algerbaic curves of odd degree with a deep nest Plane real algerbaic curves of odd degree with a deep nest

2003-11-26

arxiv.org/abs/math/0311478v2

Mathematics

Geometric Topology

5 pages. Only the title has changed

Scientific paper

We apply Murasugi-Tristram inequality to real algebraic curves of odd degree on $RP^2$ with a deep nest, i.e. a nest of the depth $k-1$ where $2k+1$ is the degree. For such curves, the ingredients of the Murasugi-Tristram inequality can be computed (or estimated) inductively using the computations for iterated torus links due to Eisenbud and Neumann as the base of the induction and Conway's skein relation as the induction step. In Appendix B, we give some generalization of the skein relation.

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