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Dedekind symbols and Linking numbers

Event Information
Event Location: 
GAB 461 (Refreshments at 3:30 in 472)
Event Date: 
Thursday, April 4, 2019 - 4:00pm

Abstract: It is known that the 3-manifold $SL(2,\mathbb{Z})\backslash SL(2,\mathbb{R})$ is diffeomorphic to the complement of the trefoil knot in $S^3$. The image of a hyperbolic element in $S^3$ is called a modular knot. The linking number of the trefoil knot with a modular knot can be given in terms of the classical Dedekind symbol. In this talk I will start by introducing these classical objects and give a generalization of the Dedekind symbol and show that how it can be related to the linking numbers of two modular knots.

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