Reducing spheres and Klein bottles after Dehn fillings

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Let M be a compact, connected, orientable, irreducible 3-manifold with a torus boundary. It is known that if two Dehn fillings on M along the boundary produce a reducible manifold and a manifold containing a Klein bottle, then the distance between the filling slopes is at most three. This paper gives a remarkably short proof of this result.

    Original languageEnglish
    Pages (from-to)265-267
    Number of pages3
    JournalCanadian Mathematical Bulletin
    Volume46
    Issue number2
    DOIs
    Publication statusPublished - 2003 Jun

    Keywords

    • Dehn filling
    • Klein bottle
    • Reducible

    ASJC Scopus subject areas

    • General Mathematics

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