科研之友
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摘要
In this paper, we use Heegaard Floer homology to study reducible surgeries. In particular, suppose K is a non-cable knot in S-3 with a positive L-space surgery. If p-surgery on K is reducible, we show that p = 2g(K) - 1. This implies that any knot with an L-space surgery has at most one reducible surgery, a fact that we show additionally for any knot of genus at most two.
- 出版日期2015
