Shifted Symplectic and Poisson Structures on Spaces of Framed Maps
Algebraic Geometry
2016-07-14 v1
Abstract
We examine shifted symplectic and Poisson structures on spaces of framed maps. We prove some results about shifted Poisson structures analogous to those in existing ones about symplectic structures. Then, we consider the space Map(X,D,Y) of maps from X to Y framed along a divisor D. We give conditions under which this space has a shifted symplectic or Poisson structure. Classical examples of symplectic and Poisson structures are provided with this theorem.
Cite
@article{arxiv.1607.03807,
title = {Shifted Symplectic and Poisson Structures on Spaces of Framed Maps},
author = {Theodore Spaide},
journal= {arXiv preprint arXiv:1607.03807},
year = {2016}
}
Comments
22 pages. A version of this paper has been submitted to Compositio Mathematica