Nonorientable manifolds, complex and symplectic structures, and characteristic classes

Authors

Indranil Biswas, Tata Institute of Fundamental Research, Mumbai
Mahuya Datta, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Bulletin des Sciences Mathematiques

Abstract

A complex manifold or a symplectic manifold is automatically oriented. We investigate these structures in the context of non-orientable manifolds. Any smooth connected non-orientable manifold is equipped with a real line bundle of order two. Various structures which are defined only on oriented manifolds extend to non-orientable manifolds once they are twisted by this line bundle of order two. Our aim is to develop this theme.

First Page

489

Last Page

508

DOI

10.1016/j.bulsci.2017.05.001

Publication Date

7-1-2017

Comments

Open Access, Bronze

Recommended Citation

Biswas, Indranil and Datta, Mahuya, "Nonorientable manifolds, complex and symplectic structures, and characteristic classes" (2017). Journal Articles. 2509.
https://digitalcommons.isical.ac.in/journal-articles/2509