Classifying $1$-handles attached to knotted surfaces
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- by Jeffrey Boyle PDF
- Trans. Amer. Math. Soc. 306 (1988), 475-487 Request permission
Abstract:
We study a method of obtaining knotted surfaces in the $4$-sphere ${S^4}$ by attaching embedded $2$-dimensional $1$-handles to a given knot. The main result is there is a one-to-one correspondence between the $1$-handles that can be attached to a knot and the double cosets of the peripheral subgroup in the group of the knot. Many examples and applications are given.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 306 (1988), 475-487
- MSC: Primary 57Q45; Secondary 57M99
- DOI: https://doi.org/10.1090/S0002-9947-1988-0933302-X
- MathSciNet review: 933302