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On contact surgery
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In this note we show that
+
1
+1
-contact surgery on distinct Legendrian knots frequently produces contactomorphic manifolds. We also give examples where this happens for
−
1
-1
-contact surgery. As an amusing corollary we find overtwisted contact structures that contain a large number of distinct Legendrian knots with the same classical invariants and tight complements.
American Mathematical Society (AMS)
Title: On contact surgery
Description:
In this note we show that
+
1
+1
-contact surgery on distinct Legendrian knots frequently produces contactomorphic manifolds.
We also give examples where this happens for
−
1
-1
-contact surgery.
As an amusing corollary we find overtwisted contact structures that contain a large number of distinct Legendrian knots with the same classical invariants and tight complements.
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