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Published September 23, 2011 | Submitted
Journal Article Open

Dehn surgeries on knots in product manifolds

Ni, Yi

Abstract

We show that if a surgery on a knot in a product sutured manifold yields the same product sutured manifold, then this knot is a 0- or 1-crossing knot. The proof uses techniques from sutured manifold theory.

Additional Information

© 2011 London Mathematical Society. Received 27 January 2010; revised 20 June 2011. First published online: September 23, 2011 The author was partially supported by an AIM Five-Year Fellowship and NSF grant number DMS-0805807. We are grateful to Danny Calegari for helpful discussions on mapping class groups. This article is dedicated to the memory of Professor Andrew Lange.

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