10 papers
On contact cosmetic surgery
John B. Etnyre, Tanushree Shah
We demonstrate that the contact cosmetic surgery conjecture holds true for all non-trivial Legendrian knots, with the possible exception of Lagrangian slice knots. We also discuss…
Building homology theories (ala Floer)
John B. Etnyre
These notes are an expanded version of evening talks at the 2025 Georgia International Topology Conference, and an abbreviated version of talks at Georgia Tech, which were aimed at…
Neighborhoods of transverse knots and destabilizations
John B. Etnyre
In this note, we show that transverse knots have unique standard neighborhoods and prove a structure theorem about non-loose Legendrian knots. We also prove a finiteness result for…
Complementary legs and symplectic rational balls
John B. Etnyre, Burak Ozbagci, Bülent Tosun
We show that a small Seifert fibered space with complementary legs does not symplectically bound a rational homology ball for at least one choice of orientation. In the case $e_0\l…
Submanifolds in contact geometry
John B. Etnyre
We survey what is known about various special types of submanifolds of contact manifolds and discuss their role in the development of contact geometry.
Symplectic rational homology ball fillings of Seifert fibered spaces
John B. Etnyre, Burak Ozbagci, Bülent Tosun
We characterize when some small Seifert fibered spaces can be the convex boundaries of symplectic rational homology balls and give strong restrictions for others to bound such mani…