Kavli Affiliate: Yukinobu Toda
| First 5 Authors: Yukinobu Toda, , , ,
| Summary:
We prove wall-crossing formula for categorical Donaldson-Thomas invariants on
the resolved conifold, which categorifies Nagao-Nakajima wall-crossing formula
for numerical DT invariants on it. The categorified Hall products are used to
describe the wall-crossing formula as semiorthogonal decompositions. A
successive application of categorical wall-crossing formula yields
semiorthogonal decompositions of categorical Pandharipande-Thomas stable pair
invariants on the resolved conifold, which categorify the product expansion
formula of the generating series of numerical PT invariants on it.
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