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- W3106013904 abstract "We study the four-genus of linear combinations of torus knots: aT(p,q) # -bT(p',q'). Fixing positive p, q, p', and q', our focus is on the behavior of the four-genus as a function of positive a and b. Three types of examples are presented: in the first, for all a and b the four-genus is completely determined by the Tristram-Levine signature function; for the second, the recently defined Upsilon function of Ozsvath-Stipsicz-Szabo determines the four-genus for all a and b; for the third, a surprising interplay between signatures and Upsilon appears." @default.
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- W3106013904 date "2017-04-17" @default.
- W3106013904 modified "2023-09-27" @default.
- W3106013904 title "The four-genus of connected sums of torus knots" @default.
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- W3106013904 doi "https://doi.org/10.1017/s0305004117000342" @default.
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