2013/09/15 by Elif Dalyan, Mustafa Korkmaz, Dalyan, Elif +3
Mathematics · #Advanced Operator Algebra Research #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1309.3778
openalex publication_date 2013/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
On a compact oriented surface of genus g with n≥ 1 boundary components, δ1, δ2,…, δn, we consider positive factorizations of the boundary multitwist tδ1 tδ2 ⋯ tδn, where tδi is the positive Dehn twist about the boundary δi. We prove that for g≥ 3, the boundary multitwist tδ1 tδ2 can be written as a product of arbitrarily large number of positive Dehn twists about nonseparating simple closed curves, extending a recent result of Baykur and Van Horn-Morris, who proved this result for g≥ 8. This fact has immediate corollaries on the Euler characteristics of the Stein fillings of conctact three manifolds.