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Taut foliations, transverse flows, and Floer homology
Geometry/Topology| Speaker: | Siddhi Krishna, UC Berkeley |
| Related Webpage: | https://sites.google.com/view/siddhi-krishna |
| Location: | 2112 MSB |
| Start time: | Tue, May 12 2026, 2:10PM |
Description
Taut foliations are an important and historically significant structure on 3-manifolds.The modern L-space conjecture makes a prediction about which rational homology spheres can admit a taut foliation. But where could the predicted taut foliations "come from"? Must they be compatible with “natural” geometric structures on the 3-manifold? In this talk, I'll discuss forthcoming work with John Baldwin and Matt Hedden, where we address a type of geography problem for taut foliations. In particular, we show that when K is a fibered strongly quasipositive knot, large surgeries along K can never admit a taut foliation which is ‘’compatible’’ with the natural flow on the Dehn surgered manifold. I'll explain why this is surprising, and if time permits, sketch the proof. No background will be assumed — all are welcome!