科研之友
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摘要
We examine certain symmetries in the deficiencies of a rational surgery on a knot in S-3 by comparing the Spin(c)-structures on the rational surgery with those on a related integral surgery. We then provide an application of these symmetries in the form of a theorem that obstructs Dehn surgeries in S-3. This last part unifies and generalizes two theorems by Greene which underlie his work on the cabling conjecture, the lens space realization problem, and the unknotting number of alternating 3-braids.
- 出版日期2015
