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학술대회/행사

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제출번호(No.) 0253
분류(Section) Contributed Talk
분과(Session) (TO) Topology (TO)
발표시간(Time) 19th-B-13:50 -- 14:10
영문제목
(Title(Eng.))
Strong quasipositivity and arc index
저자(Author(s))
Alexander Stoimenow1, Hwa Jeong Lee1, Gyo Taek Jin2
Dongguk University1, KAIST2
초록본문(Abstract) We present a viewpoint on Euler characteristic 0 braided surfaces as grid diagrams. This leads to some results regarding estimates of Thurston-Bennequin invariants of knots, strong quasipositivity of Whitehead doubles, jump numbers of slice-torus invariants, and arc and braid index. We explain how to apply this to determine the arc index of the 14 crossing knots.
분류기호
(MSC number(s))
Primary 57K10; Secondary 57M50, 20F36, 05C10, 51E12, 57K33
키워드(Keyword(s)) Arc index, braid index, rectilinear polygon, HOMFLY-PT polynomial, Thurston-Bennequin invariant, strongly quasipositive, Whitehead double
강연 형태
(Language of Session (Talk))
English