Higher-order analogues of genus and slice genus of classical knots

We define invariants analogous to the genus and slice genus of knots in S3. For algebraically slice, genus one knots, we define the differential genus, denoted dg, and we prove it is independent of the Alexander polynomial and knot Floer homology. For knots which bound Gropes of height n + 2 in D 4,...

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Bibliographic Details
Other Authors: Cochran, Tim D.
Format: Others
Language:English
Published: 2011
Subjects:
Online Access:http://hdl.handle.net/1911/61828