12 citations · 13 across the 3 of their papers we have counts for
3 papers
math.AG2005★ 1 cited
Integrality of Gopakumar-Vafa Invariants of Toric Calabi-Yau Threefolds
Yukiko Konishi
The Gopakumar-Vafa invariants are numbers defined as certain linear combinations of the Gromov-Witten invariants. We prove that the GV invariants of a toric Calabi-Yau threefold ar…
math.AG2004
Pole Structure of Topological String Free Energy
Yukiko Konishi
We show that the free energy of the topological string admits a certain pole structure by using the operator formalism. Combined with the results of Peng that proved the integralit…
hep-th2004★ 12 cited
Topological Strings, Instantons and Asymptotic Forms of Gopakumar-Vafa Invariants
Yukiko Konishi
We calculate the topological string amplitudes of Calabi-Yau toric threefolds corresponding to 4D, N=2, SU(2) gauge theory with N_f=0,1,2,3,4 fundamental hypermultiplets by using t…