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arxiv: 1607.03807 · v1 · pith:P727WHXFnew · submitted 2016-07-13 · 🧮 math.AG

Shifted Symplectic and Poisson Structures on Spaces of Framed Maps

Theodore Spaide This is my paper
classification 🧮 math.AG
keywords poissonstructuressymplecticshiftedframedmapsspacespaces
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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.

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