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math.AG2010
Quantum Singularity Theory for A_{r-1} and r-Spin Theory
Huijun Fan, Tyler J. Jarvis, Yongbin Ruan
We give a review of the quantum singularity theory of Fan-Jarvis-Ruan and the r-spin theory of Jarvis-Kimura-Vaintrob and describe the work of Abramovich-Jarvis showing that for th…
math.AG2010
Witten's D_4 Integrable Hierarchies Conjecture
Huijun Fan, Amanda Francis, Tyler J. Jarvis +2
We prove that the total descendant potential functions of the theory of Fan-Jarvis-Ruan-Witten for D_4 with symmetry group <J> and D_4^T with symmetry group G_{max}, respectively,…