In this paper we provide a new Bennequin-type inequality for the Rasmussen-Beliakova-Wehrli invariant, featuring some numerical transverse braid invariants (the c-invariants) introduced by the author. From the Bennequin type-inequality, and a combinatorial bound on the value of the c-invariants, we deduce a new computable bound on the Rasmussen invariant.
A Bennequin-type inequality and combinatorial bounds / Collari C. - In: MICHIGAN MATHEMATICAL JOURNAL. - ISSN 0026-2285. - STAMPA. - 68:(2019), pp. 775-799. [10.1307/mmj/1565402474]
A Bennequin-type inequality and combinatorial bounds
Collari C
2019
Abstract
In this paper we provide a new Bennequin-type inequality for the Rasmussen-Beliakova-Wehrli invariant, featuring some numerical transverse braid invariants (the c-invariants) introduced by the author. From the Bennequin type-inequality, and a combinatorial bound on the value of the c-invariants, we deduce a new computable bound on the Rasmussen invariant.
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