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On the Upsilon invariant of fibered knots and right-veering open books

On the Upsilon invariant of fibered knots and right-veering open books

Ozsvath, Stipsicz and Szabo define a one-parameter family {Ļ’į“‹(t)}tāˆˆ[ā‚€,ā‚‚] of Heegaard Floer knot invariants for knots K āŠ‚ SĀ³ . We generalize Ļ’į“‹ (t) to knots in any rational homology sphere. We study the Ļ’āˆ’invariant of a fibered knot. We prove that the Ļ’āˆ’invariant can never reach its minimum slope ā€¦