Intersection cohomology and quantum cohomology of conical symplectic resolutions

2014/10/23 by McBreen, Michael, Proudfoot, Nicholas
#14N35 #52C35 #55N33 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1410.6240

Abstract

For any conical symplectic resolution, we give a conjecture relating the intersection cohomology of the singular cone to the quantum cohomology of its resolution. We prove this conjecture for hypertoric varieties, recovering the ring structure on hypertoric intersection cohomology that was originally constructed by Braden and the second author.

Related

• The quantum Hikita conjecture
• Intersection cohomology of S¹ symplectic quotients and small resolutions
• Quantum Steenrod operations of symplectic resolutions
• Quantum cohomology of complete intersections
• Local intersection cohomology of varieties of complexes