Behavior of knot Floer homology under conway and genus two mutation
In this dissertation we prove that if an n-stranded pretzel knot K has an essential Conway sphere, then there exists an Alexander grading s such that the rank of knot Floer homology in this grading, [mathematical equation], is at least two. As a consequence, we are able to easily classify pretzel kn...
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| Format: | Others |
| Language: | en_US |
| Published: |
2013
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| Online Access: | http://hdl.handle.net/2152/21684 |