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Title:
Embeddings of non-orientable surfaces in M x I
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Abstract:
We study embeddings of closed non-orientable surfaces representing non-trivial Z/2 homology classes in the product of a rational homology sphere M with the interval. Based on Heegaard Floer homology correction terms we find obstructions to such embeddings involving the genus h of the surface and the normal Euler number e of the embedding. When M is a lens space the conditions on e and h imply that these numbers are the same as those obtained by stabilization of embeddings in M. These results extend to some other L-spaces containing Floer simple knots. This is joint work with Adam Levine and Daniel Ruberman.
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