Cohomological aspects in complex non-Kähler geometry

Cohomological aspects in complex non-Kähler geometry

by Angella, Daniele

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Title Statements

  • Full title :Cohomological aspects in complex non-Kähler geometry / Daniele Angella.

Edition Statements

  • Publication Date:©2014

Publication Statements

  • Publisher(s):Springer-Verlag
  • Place of Publication:Cham, Switzerland
  • Language:eng
  • Publication Date:©2014

The Physical Object

  • Description:xxv, 262 pages : : illustrations ; : 24 cm.

Edition Identifiers

  • ISBN:331902440X, 9783319024400, 3319024418, 9783319024417
  • oclc:ocn857646755
  • LC Classification:QA3
  • Dewey Decimal:515.946

Table of Contents

1.Preliminaries on (Almost-)Complex Manifolds -- 1.1.Almost-Complex Geometry and Complex Geometry -- 1.1.1.Almost-Complex Structures -- 1.1.2.Complex Structures, and Dolbeault Cohomology -- 1.2.Symplectic Geometry -- 1.2.1.Symplectic Structures -- 1.2.2.Cohomological Aspects of Symplectic Geometry -- 1.3.Generalized Geometry -- 1.3.1.Generalized Complex Structures -- 1.3.2.Cohomological Aspects of Generalized Complex Geometry -- 1.3.3.Complex Structures and Symplectic Structures in Generalized Complex Geometry -- 1.4.Kahler Geometry -- 1.4.1.Kahler Metrics -- 1.4.2.Hodge Theory for Kahler Manifolds -- 1.4.3.[∂][∂]-Lemma and Formality for Compact Kahler Manifolds -- 1.5.Deformations of Complex Structures -- 1.6.Currents and de Rham Homology -- 1.7.Solvmanifolds -- 1.7.1.Lie Groups and Lie Algebras -- 1.7.2.Nilmanifolds and Solvmanifolds -- Appendix: Low Dimensional Solvmanifolds and Special Structures -- A.1.Solvmanifolds up to Dimension 4 -- A.2.Five-Dimensional Solvmanifolds -- A.3.Six-Dimensional Nilmanifolds -- A.4.Six-Dimensional Solvmanifolds -- 2.Cohomology of Complex Manifolds -- 2.1.Cohomologies of Complex Manifolds -- 2.1.1.The Bott-Chern Cohomology -- 2.1.2.The Aeppli Co…

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