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Lectures and Surveys on G2-Manifolds and Related Topics

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Cover of 'Lectures and Surveys on G2-Manifolds and Related Topics'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction to $$\mathrm {G}_2$$ Geometry
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    Chapter 2 Constructions of Compact $$G_2$$ -Holonomy Manifolds
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    Chapter 3 Calibrated Submanifolds
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    Chapter 4 Calibrated Submanifolds in $$G_{2}$$  Geometry
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    Chapter 5 Geometric Flows of $${{\,\mathrm{G\!}\,}}_2$$ Structures
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    Chapter 6 Distinguishing $$G_2$$ -Manifolds
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    Chapter 7 Gravitational Instantons and Degenerations of Ricci-flat Metrics on the K3 Surface
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    Chapter 8 Frölicher–Nijenhuis Bracket on Manifolds with Special Holonomy
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    Chapter 9 Distinguished $$G_2$$ -Structures on Solvmanifolds
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    Chapter 10 On G $$_{\mathbf 2}$$ -Structures, Special Metrics and Related Flows
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    Chapter 11 Laplacian Flow for Closed $$\mathrm{G}_2$$ Structures
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    Chapter 12 Flows of Co-closed $$G_{2}$$ -Structures
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    Chapter 13 $$\mathrm{G}_2$$ -Instantons on Noncompact $$\mathrm{G}_2$$ -Manifolds: Results and Open Problems
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    Chapter 14 Current Progress on $$\mathrm{{G}}_2$$ -Instantons over Twisted Connected Sums
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    Chapter 15 Complex and Calibrated Geometry
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    Chapter 16 Deformations of Calibrated Submanifolds with Boundary
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