Ruan's crepant resolution conjecture for quantum D-modules
Ruan's crepant resolution conjecture for quantum D-modules
Let and be the orbifold and its crepant resolution, with and their quantum -modules. A global quantum -module is a tuple consisting of a connected complex analytic space, a holomorphic vector bundle with flat connection, and a non-degenerate flat inner product. Ruan's crepant resolution conjecture. There should exist a global quantum -module and open subsets such that
This is a formulation of the crepant resolution conjecture asserting that the quantum theories of a crepant resolution and its orbifold are local manifestations of one global quantum -module; the source gives no resolution status.
Sources & referencesView supporting material
Primary source
Andrea Brini, Renzo Cavalieri and Dustin Ross, “Crepant resolutions and open strings”, arXiv:1309.4438 (2019).
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