Work

A d-shifted Darboux theorem

Year: 2013
Type: preprint
Abstract: We give a local model for d-shifted symplectic dg-schemes, or Deligne-Mumford dg-stacks [PTVV]. Locally any such is a product of a "twisted shifted cotangent bundle", where the twist is given by an element df, with $f \in H^{1-d}(\Cal O)$, and a quadratic bundle in middle degree. The latter only occurs if d = 4r+2.
Language: English
Open Access status: green
OpenAlex ID: W1924045606
Cites: 7
Cited by: 11
Related to: 10