nLab handlebody

Idea

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 Definition

An $(m,k)$-handlebody of genus $g$ is a manifold consisting of $g$ $k$-handles? attached to the disk $D^m$.

Related concepts

• cobordism hypothesis

References

Textbook account:

• Antoni Kosinski, chapter VI of: Differential manifolds, Academic Press (1993) [pdf, ISBN:978-0-12-421850-5]

See also:

• Wikipedia, Handlebody

• Wikipedia, Handle decomposition

• Anna Beliakova, Marco De Renzi, Refined Bobtcheva-Messia Invariants of 4-Dimensional 2-Handlebodies [arXiv:2205.11385]