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Jan. 7, 2013 (Monday), 16:30 ~

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at 51st building, 17th floor, Room 17-08

Abstract :
Yokota suggested an optimistic limit method of the Kashaev
invariants of hyperbolic knots and showed it determines the
complex volumes of the knots. His method is very effective
and gives almost combinatorial method of calculating the
complex volumes. 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 talk, we suggest more general way to calculate the complex
volumes of hyperbolic links using the modified optimistic limit
method. This new method works for any link diagrams, and it is
more intuitive, easy to handle and has natural geometric meaning.

This is a joint-work with Hyuk Kim and Seonhwa Kim of
Seoul National University.

 

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http://www.sci.waseda.ac.jp/campus
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For access, see here.

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