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Title:
Embeddings of Non-orientable Surfaces in $L(p,q) \times I$
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Abstract:
We use the Heegaard Floer homology correction terms to obstruct finding essential embeddings of closed, non-orientable surfaces in the product of a lens space and an interval. For a non-orientable surface $F$ with sufficiently low genus (and conjecturally any genus), we show that if $F$ embeds essentially in $L(p,q) \times I$, the genus and normal Euler number of the embedding are the same as those of a stabilization of a non-orientable surface embedded in $L(p,q)$. This is joint work with Danny Ruberman and Saso Strle.
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