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Twisted complex geometry

Part of: Global differential geometry General theory of differentiable manifolds Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  09 April 2009

Shuguang Wang
Shuguang Wang
Affiliation:
Department of Mathematics, University of Missouri, Columbia, MO 65211, USA, e-mail: sw@math.missouri.edu
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Abstract

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We introduce complex differential geometry twisted by a real line bundle. This provides a new approach to understand the various real objects that are associated with an anti-holomorphic involution. We also generalize a result of Greenleaf about real analytic sheaves from dimension 2 to higher dimensions.

MSC classification

Secondary: 58A05: Differentiable manifolds, foundations 53C07: Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) 14J60: Vector bundles on surfaces and higher-dimensional varieties, and their moduli 53C56: Other complex differential geometry
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 80 , Issue 2 , April 2006 , pp. 273 - 296
Copyright
Copyright © Australian Mathematical Society 2006

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