Home /  Getting dirty with foliations: Taut foliations from Heegaard splittings

Seminar

Getting dirty with foliations: Taut foliations from Heegaard splittings April 29, 2026 (05:00 PM PDT - 06:00 PM PDT)
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Location: Evans Hall, 3
Speaker(s) Qingfeng Lyu (Boston College)
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This talk will take place on campus, in Evans Hall room 3. 

The theory of constructing taut foliations from Heegaard splittings was initiated by Sarah Rasmussen and later developed by Tao Li using branched surfaces. This method has been proved successful for manifolds with small Heegaard genus. I’ll briefly sketch Li’s construction for manifolds with Heegaard genus 2, and show how we could apply the idea to (1,1) knots. In particular, we show that (1,1) non-L-space knots in the 3-sphere and lens spaces are persistently foliar.

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