The Self-Linking Number in Annulus and Pants Open Book Decompositions
classification
🧮 math.GT
math.SG
keywords
self-linkingannulusbookcontactformulanumberopenpants
read the original abstract
We find a self-linking number formula for a given null-homologous transverse link in a contact manifold that is compatible with either an annulus or a pair of pants open book decomposition. It extends Bennequin's self-linking formula for a braid in the standard contact $3$-sphere.
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