GGT Seminar: Building taut foliations from positive braids
Apr 2, 2026 11:00 am
140 Burrill Hall
- Sponsor
- Department of Mathematics
- Speaker
- Zipei Nie (UIUC)
- Views
- 26
- Originating Calendar
- Mathematics Seminar Series: Groups, Geometry, and Topology
Abstract: The L-space conjecture predicts a deep connection between Heegaard Floer homology and co-oriented taut foliations. For a positive L-space knot $K \subset S^3$, surgeries along slopes $r < 2g(K)-1$ produce non-L-spaces. If the conjecture holds, these manifolds are expected to admit co-oriented taut foliations. Most known positive L-space knots arise as closures of positive braids. In this talk, I will describe a construction of taut foliations in this setting.