Dalyan, ElifKorkmaz, MustafaPamuk, Mehmetcik2019-05-132019-05-132015Dalyan, E., Korkmaz, M., Pamuk, M. (2014). Arbitrarily long factorizations in mapping class groups. International Mathematics Research Notices, 2015(19), 9400-9414.1073-7928https://doi.org/10.1093/imrn/rnu226https://hdl.handle.net/11491/1254Abstract. On a compact oriented surface of genus g with n ? 1 boundary components, ?1, ?2, . . . , ?n, we consider positive factorizations of the boundary multitwist t?1 t?2 · · ·t?n , where t?i is the positive Dehn twist about the boundary ?i. We prove that for g ? 3, the boundary multitwist t?1 t?2 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 contact three manifoldseninfo:eu-repo/semantics/closedAccess[Belirlenecek]Article2015199400941410.1093/imrn/rnu226N/AQ2