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Asymptotic concordance invariants for ergodic vector fields

2011
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Commentarii Mathematici Helvetici
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We study the asymptotics of a family of link invariants on the orbits of a smooth volume-preserving ergodic vector field on a compact domain of the 3-space. These invariants, called linear saddle invariants, include many concordance invariants and generate an infinitedimensional vector space of link invariants. In contrast, the vector space of asymptotic linear saddle invariants is 1-dimensional, generated by the asymptotic signature. We also determine the asymptotic slice genus and relate it

doi:10.4171/cmh/215
fatcat:6cjh6kzzanfs5nhph2vdpvwcqe