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SU(2) representations of small Dehn surgeries on knots

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Fan Ye
Harvard University
Don, 15/06/2023 - 12:00 - 13:00
MPIM Lecture Hall

Contact: Aru Ray (aruray @

Kronheimer-Mrowka proved that the fundamental group of r-surgery on a nontrivial knot for |r|<=2 always has an irreducible SU(2) representation, which answered the property P conjecture affirmly. They asked the case of r=3 and 4. The case r=4 was solved by Baldwin-Sivek and the case r=3 was solved by Baldwin-Li-Sivek-Ye. In this talk, I will describe the strategy of the proofs using instanton Floer homology.



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