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Seminar

Taut foliations, transverse flows, and Floer homology

Speaker
Siddhi Krishna, UC Berkeley
Date
Tue, May 26 2026, 4:00pm
Location
383N
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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. All are welcome!