2021/08/17 by Rima Chatterjee, Chatterjee, Rima
Computer Science · Mathematics · #57K10(Secondary) #57K33(Primary) #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Logic, programming, and type systems #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2108.07764
openalex publication_date 2021/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that transverse links in any contact manifold (M,ξ) can be realized as a sub-binding of a compatible open book decomposition. We define the support genus of a transverse link and prove that the support genus of a transverse knot is zero if there is an overtwisted disk disjoint from it. Next, we find a relationship between the support genus of a transverse link and its Legendrian approximation.