Hello topologists,

Today at 3:30 in MSCS 445, Eric will be presenting in topology seminar as part of his qualifying exam. His title and abstract are below.

Title: More infinite families of homology lens spaces of lower bounded complexity

Abstract: We replicate a computation of Boyer and Lines [BL90] concerning closed orientable 3-manifolds, exhibiting infinitely many prime integral homology lens spaces, M, such that M is obtained by p/q Dehn surgery along a knot in an integral homology sphere, but M cannot be obtained by such a surgery along any knot in the 3-sphere. We then demonstrate additional families of such spaces. Notes: This is a qualifying exam.

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Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman