Abstract: The notion of geometric isolation was defined by Neumann and Reid in 1993. For a two component hyperbolic link, a cusp is said to be geometrically isolated if its shape is not affected by Dehn surgery on the other cusp. In this talk, I will elaborate how one can investigate geometric isolation in a two component hyperbolic link through calculus on the cusp moduli function. The talk will be built on an example discussed in my in preparation joint work with Eric Chesebro and Jason DeBlois.
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