96 citations · 406 across the 25 of their papers we have counts for
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math.AG2007★ 96 cited
The Witten equation and its virtual fundamental cycle
Huijun Fan, Tyler J. Jarvis, Yongbin Ruan
We study a system of nonlinear elliptic PDEs associated with a quasi-homogeneous polynomial. These equations were proposed by Witten as the replacement for the Cauchy-Riemann equat…
math.AG2007★ 35 cited
The Witten equation, mirror symmetry and quantum singularity theory
Huijun Fan, Tyler J. Jarvis, Yongbin Ruan
For any non-degenerate, quasi-homogeneous hypersurface singularity, we describe a family of moduli spaces, a virtual cycle, and a corresponding cohomological field theory associate…