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

collaborators

8 papers

hep-th2021★ 17 cited

Branches, quivers, and ideals for knot complements

Tobias Ekholm, Angus Gruen, Sergei Gukov +4

We generalize the invariant, i.e. for the complement of a knot in the 3-sphere, the knots-quivers correspondence, and -polynomials of knots, and find sev…

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 , which is th…

hep-th2020★ 14 cited

Cobordism invariants from BPS q-series

Sergei Gukov, Sunghyuk Park, Pavel Putrov

Many BPS partition functions depend on a choice of additional structure: fluxes, Spin or Spin structures, etc. In a context where the BPS generating series depends on a choice…

hep-th2020★ 29 cited

at large : from curve counts to quantum modularity

Tobias Ekholm, Angus Gruen, Sergei Gukov +3

Reducing a 6d fivebrane theory on a 3-manifold gives a -series 3-manifold invariant . We analyse the large- behaviour of , where $M_…

hep-th2020★ 51 cited

Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants

Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima +3

By studying Rozansky-Witten theory with non-compact target spaces we find new connections with knot invariants whose physical interpretation was not known. This opens up several ne…

math.GT2020★ 29 cited

Large color -matrix for knot complements and strange identities

Sunghyuk Park

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

hep-th2019★ 28 cited

3d-3d correspondence for mapping tori

Sungbong Chun, Sergei Gukov, Sunghyuk Park +1

One of the main challenges in 3d-3d correspondence is that no existent approach offers a complete description of 3d SCFT --- or, rather, a "collection of SCFTs" as w…

math.GT2019★ 21 cited

Higher rank and

Sunghyuk Park

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