Irreducible homology S^1xS^2s which aren't zero surgery on knot
Irreducible homology S^1xS^2s which aren't zero surgery on knot
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Matthew Hedden
Irreducible homology S^1xS^2s which aren'tÌýzeroÌýsurgeryÌýon knot
Abstract: I'll discuss constructions of manifolds with the homology of
S^1xS^2 which don't arise as DehnÌýsurgeryÌýon aÌýknot in S^3. ÌýOur examples have weight one fundamental group and were constructed to answer a question ofÌýAschenbrenner, Friedl and Wilton.Ìý Moreover, they are not even homology cobordant toÌýsurgeryÌýon a knot in S^3.ÌýÌýOne of our obstructions comes fromÌýd-invariantsÌýandÌýwas noted by Ozsvath and Szabo early on in the development of Heegaard Floer theory.ÌýÌý Ìý This is joint work with Tom Mark, Kyungbae Park,Ìýand Min Hoon Kim.
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