Upsilon Invariant, Fibered Knots and Right-veering Open Books
He, Dongtai. “Upsilon Invariant, Fibered Knots and Right-veering Open Books”, Boston College, 2018. http://hdl.handle.net/2345/bc-ir:108214.
Abstract
"Ozsváth, Stipsicz and Szabó define a one-parameter family {ϒᴋ(t)}t∈[₀,₂] of Heegaard Floer knot invariants for knots K ⊂ S³ . We generalize ϒᴋ (t) to knots in any" "rational homology sphere. We study the ϒ−invariant of a fibered knot. We prove that the ϒ−invariant can never reach its minimum slope if the monodromy of the fibration is not right-veering.
