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This document presents a proof of the Nekrasov–Piazzalunga conjecture regarding the weighted generating function of solid partitions, motivated by super-Yang–Mills theory on a Calabi–Yau 4-fold. The authors define K-theoretic virtual invariants of Quot schemes and utilize the Oh–Thomas localization formula to derive the conjectured weights and their sign rule. The proof involves refining K-theoretic invariants to sheaves and demonstrating their connection to a factorizable sequence of sheaves.

Author

jepasi4626

Language

EN