Sunghyuk Park

activity

20192021

most citedRozansky-Witten geometry of Coulomb branches and logarithmic knot invariants

51 citations · 190 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.GT2021★ 1 cited

Inverted state sums, inverted Habiro series, and indefinite theta functions

Sunghyuk Park

S. Gukov and C. Manolescu conjectured that the Melvin-Morton-Rozansky expansion of the colored Jones polynomials can be re-summed into a two-variable series $F_{K} (x, q)$ , which is th…

math.GT2020★ 29 cited

Large color $R$ -matrix for knot complements and strange identities

Sunghyuk Park

The Gukov-Manolescu series, denoted by $F_{K}$ , is a conjectural invariant of knot complements that, in a sense, analytically continues the colored Jones polynomials. In this paper w…

math.GT2019★ 21 cited

Higher rank $Z^$ and $F_{K}$

Sunghyuk Park

We study $q$ -series-valued invariants of 3-manifolds that depend on the choice of a root system $G$ . This is a natural generalization of the earlier works by Gukov-Pei-Putrov-Vafa…

Inverted state sums, inverted Habiro series, and indefinite theta functions

Large color R-matrix for knot complements and strange identities

Higher rank Z^ and FK​

Large color $R$ -matrix for knot complements and strange identities

Higher rank $Z^$ and $F_{K}$