3 papers
math.GT2025
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…
math.GT2025
Knotted solid tori in contact manifolds
John Etnyre, Youlin Li, Bülent Tosun
In this note we study solid tori in contact manifolds. Specifically, we study the width of a knot type and give criteria for when it is equal to the maximal Thurston-Bennequin inva…
math.GT2024
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…