Relative Symplectic Caps, Fibered Knots And 4-Genus

The 4-genus of a knot in S3 is an important measure of complexity, related to the unknotting number. A fundamental result used to study the 4-genus and related invariants of homology classes is the Thom conjecture, proved by Kronheimer-Mrowka, and its symplectic extension due to Ozsv´ath-Szab´o, whi...

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Bibliographic Details
Main Author: Kulkarni, Dheeraj
Other Authors: Gadgil, Siddhartha
Language:en_US
Published: 2014
Subjects:
Online Access:http://etd.iisc.ernet.in/handle/2005/2285
http://etd.ncsi.iisc.ernet.in/abstracts/2943/G25244-Abs.pdf