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math.CO2012★ 1 cited
The Loop Murnaghan-Nakayama Rule
Dustin Ross
We give a combinatorial proof of a natural generalization of the Murnaghan-Nakayama rule to loop Schur functions. We also define shifted loop Schur functions and prove that they sa…
math.AG2012★ 13 cited
The Gerby Gopakumar-Mariño-Vafa Formula
Dustin Ross, Zhengyu Zong
We prove a formula for certain cubic -Hodge integrals in terms of loop Schur functions. We use this identity to prove the Gromov-Witten/Donaldson-Thomas correspondence for lo…