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A combinatorial characterization of 4-dimensional handlebodies

Forum Mathematicum, ISSN: 1435-5337, Vol: 4, Issue: 4, Page: 123-134
1992
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  • Citations
    11
    • Citation Indexes
      11
  • Captures
    3

Article Description

In this work, (orientable and non-orientable) 4-dimensional handlebodies are proved to be the only 4-manifolds whose regular genus equals the one of their boundary. As a consequence, we obtain the classification of all 4-manifolds of regular genus g ≤ 1. © 1992, Walter de Gruyter. All rights reserved.

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