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arXiv · 1510.06377

Signatures of real algebraic curves via plumbing diagrams

Patrick M. Gilmer·Stepan Yu. Orevkov
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Abstract

We define and calculate signature and nullity invariants for complex schemes for curves in the real projective plane. We use an analog of the Murasugi-Tristram inequality to prohibit certain schemes from being realized by real algebraic curves. We give new formulas for Casson-Gordon invariants of graph manifolds, and signatures of graph links.

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Patrick M. Gilmer, Stepan Yu. Orevkov. 2017-11-26. Signatures of real algebraic curves via plumbing diagrams. https://doi.org/10.1142/s0218216518400035

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