俈寧俀侽擔乮壩乯屵屻係丗俀侽乣俆:俆侽
応強丗撧椙彈巕戝妛棟妛晹俠搹係奒係俁侾乮墘廗幒乯
島墘幰丗Marion Moore (Univ. of California, Davis)
島墘戣栚丗 High Distance Knots in closed 3-manifolds
Abstract:
Let M be a closed 3-manifold with a given Heegaard splitting.
We show that after a single stabilization, some core of the
stabilized splitting has arbitrarily high distance with respect
to the splitting surface. This generalizes a result of Minsky,
Moriah, and Schleimer for knots in S^3. We also show that in
the complex of curves, handlebody sets are either coarsely
distinct or identical. We define the coarse mapping class group
of a Heeegaard splitting, and show that if (S, V, W) is a
Heegaard splitting of genus greater than or equal to 2, then
the coarse mapping class group of (S,V,W) is isomorphic to the
mapping class group of (S, V, W). This is joint work with Matt Rathbun.