BROWSE

Related Scientist

Researcher

김선화
기하학 수리물리 연구단
more info

Optimistic limits of Kashaev invariants and complex volumes of hyperbolic links

Cited 5 time in webofscience Cited 0 time in scopus
1,649 Viewed 134 Downloaded
Title
Optimistic limits of Kashaev invariants and complex volumes of hyperbolic links
Author(s)
Jinseok Cho; Hyuk Kim; Seonhwa Kim
Publication Date
2014-09
Journal
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.23, no.9, pp.1450049-1 - 1450049-32
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Abstract
Yokota suggested an optimistic limit method of the Kashaev invariants of hyper- bolic knots and showed it determines the complex volumes of the knots. His method is very eective and gives almost combinatorial method of calculating the complex vol- umes. However, to describe the triangulation of the knot complement, he restricted his method to knot diagrams with certain conditions. Although these restrictions are general enough for any hyperbolic knots, we have to select a good diagram of the knot to apply his theory. In this article, we suggest more combinatorial way to calculate the complex volumes of hyperbolic links using the modied optimistic limit method. This new method works for any link diagrams, and it is more intuitive, easy to handle and has natural geometric meaning.
URI
https://pr.ibs.re.kr/handle/8788114/772
ISSN
0218-2165
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
Files in This Item:
Journal of Knot Theory and Its Ramifications 23(9)_2014-기하학 수리물리 연구단.pdfDownload

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse