2011/11/10 by Francis, Amanda, Jarvis, Tyler, Johnson, Drew +1
#14B05 #14J81 #14N35 #32S25 #32S40 #32S55 (Secondary) #53D45 #57R56 (Primary) 14J81 #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.1111.2508
We prove the Landau-Ginzburg Mirror Symmetry Conjecture at the level of (orbifolded) Frobenius algebras for a large class of invertible singularities, including arbitrary sums of loops and Fermats with arbitrary symmetry groups. Specifically, we show that for a quasi-homogeneous polynomial W and an admissible group G within the class, the Frobenius algebra arising in the FJRW theory of [W/G] is isomorphic (as a Frobenius algebra) to the orbifolded Milnor ring of [WT/GT], associated to the dual polynomial WT and dual group GT.