Reducible Surgeries on Slice and Almost L-Space Knots
Reducible Surgeries on Slice and Almost L-Space Knots
Start:
Monday, May 6, 2024 12:00 pm
End:
Monday, May 6, 2024 12:50 pm
Location:
Kidd 280
Holt Bodish
University of Oregon
A celebrated theorem of low dimensional topology states that any 3-manifold can be obtained from S^3 by Dehn surgery on a link. However, it is still an open question which 3-manifolds arise as Dehn surgery on a knot (a link with one component). We use tools from Heegaard Floer homology to investigate a special case of this question: when does Dehn surgery on a knot produce a reducible 3-manifold (a non-trivial connected sum of two 3-manifolds). We show that slice knots only admit reducible surgeries of a particular kind and that only certain slopes on almost L-space knots can produce reducible 3-manifolds. This is joint work with Robert DeYeso III.
Contact:
Christine Escher