A note on symplectic topology of $b$-manifolds

Pedro Frejlich; David Martínez Torres; Eva Miranda

A note on symplectic topology of $b$-manifolds

Symplectic Geometry 2018-02-13 v2

Authors: Pedro Frejlich , David Martínez Torres , Eva Miranda

Abstract

A Poisson manifold $(M^{2n},\p)$ is $b$ -symplectic if $\bigwedge^n\p$ is transverse to the zero section. In this paper we apply techniques native to Symplectic Topology to address questions pertaining to $b$ -symplectic manifolds. We provide constructions of $b$ -symplectic structures on open manifolds by Gromov's $h$ -principle, and of $b$ -symplectic manifolds with a prescribed singular locus, by means of surgeries.

Keywords

symplectic topology $b$-manifolds Poisson manifold $b$-symplectic $h$-principle singular locus surgeries

Cite

@article{arxiv.1312.7329,
  title  = {A note on symplectic topology of $b$-manifolds},
  author = {Pedro Frejlich and David Martínez Torres and Eva Miranda},
  journal= {arXiv preprint arXiv:1312.7329},
  year   = {2018}
}

Comments

13 pages, 1 figure, the paper has been completely rewritten

A note on symplectic topology of $b$-manifolds

Abstract

Keywords

Cite

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