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Topology Seminar Series: Adam Levine, Brandeis

Adam Levine, Brandeis

Title: Embeddings of Non-orientable Surfaces in $L(p,q) \times I$
Speaker: Adam Levine, Brandeis
Date: Thursday, April 18, 2013
Time: 11:30am – 12:30pm
Place: Lecture Hall 102, Simons Center



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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.