Signatures of real algebraic curves via plumbing diagrams
arXiv:1510.06377 · doi:10.1142/S0218216518400035
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.
arXiv comment28 pages