The derived moduli stack of shifted symplectic structures
Samuel Bach
University of British Columbia, Vancouver, CanadaValerio Melani
Università di Pisa, Italy and Università di Milano, Italy
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Abstract
We introduce and study the derived moduli stack of -shifted symplectic structures on a given derived stack , as introduced in [8]. In particular, under reasonable assumptions on , we prove that carries a canonical quadratic form, in the sense of [14]. This generalizes a classical result of Fricke and Habermann (see [13]), which was established in the -setting, to the broader context of derived algebraic geometry, thus proving a conjecture stated in [14].
Cite this article
Samuel Bach, Valerio Melani, The derived moduli stack of shifted symplectic structures. Rend. Sem. Mat. Univ. Padova 141 (2019), pp. 221–241
DOI 10.4171/RSMUP/24