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.
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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.

Title
Upsilon Invariant, Fibered Knots and Right-veering Open Books
Author
He, Dongtai
School
Arts and Sciences
Discipline
Mathematics
Publisher
Boston College
Date Issued
2018
Genre
thesis
Degree Level
Doctoral
Degree Name
PhD
Thesis Advisor
Grigsby, Julia E.
Persistent Link
http://hdl.handle.net/2345/bc-ir:108214
Use Restrictions
Copyright is held by the author, with all rights reserved, unless otherwise noted.
Subject
Fibered Knots
Knot Floer Complex
Right-veering open book
Upsilon Invariant

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