Derived critical loci I - Basics

Details Derived critical loci I - Basics Derived critical loci I - Basics

2011-09-23

arxiv.org/abs/1109.5213v1

Mathematics

Algebraic Geometry

Notes

Scientific paper

We will quickly explore the derived geometry of zero loci of sections of vector bundles, with particular emphasis on derived critical loci. In particular we will single out many of the derived geometric structures carried by derived critical loci: the homotopy Batalin-Vilkovisky structure, the action of the 2-monoid of the self-intersection of the zero section, and the derived symplectic structure of degree -1, and show how this structure exists, more generally, on derived lagrangian intersections inside a symplectic manifold. These are just applications of a small part of a much larger project - joint with Pantev, To\"en and Vaqui\'e - investigating quantization of derived moduli spaces.

Affiliated with

Also associated with

No associations

Rating

Derived critical loci I - Basics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Derived critical loci I - Basics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Derived critical loci I - Basics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-601954