# nLab pseudoholomorphic vector bundle

### Context

#### Bundles

bundles

fiber bundles in physics

complex geometry

# Contents

## Idea

The concept of pseudoholomorphic vector bundle (Bryant 05, def. 1) is like that of holomorphic vector bundle but with complex structures relaxed to almost complex structures.

## References

• Robert Bryant, Remarks on the geometry of almost complex 6-manifolds, The Asian Journal of Mathematics, vol. 10 no. 3 (September, 2006), pp. 561–606 (arXiv:math/0508428, Euclid)

• Boris Kruglikov, Tangent and normal bundles in almost complex geometry (arXiv:math/0304165)

• Boris Kruglikov, Symmetries of almost complex structures and pseudoholomorphic foliations, International Journal of Mathematics 2014; Volume 25 (8) (arXiv:1103.4404)

• Alexander D. Popov, Hermitian-Yang-Mills equations and pseudo-holomorphic bundles on nearly Kaehler and nearly Calabi-Yau twistor 6-manifolds, Nucl.Phys.B828:594-624, 2010 (arXiv:0907.0106)

Last revised on August 10, 2017 at 14:06:28. See the history of this page for a list of all contributions to it.