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Kuranishi Structures and Virtual Fundamental Chains

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Cover of 'Kuranishi Structures and Virtual Fundamental Chains'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Notations and Conventions
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    Chapter 3 Kuranishi Structures and Good Coordinate Systems
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    Chapter 4 Fiber Product of Kuranishi Structures
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    Chapter 5 Thickening of a Kuranishi Structure
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    Chapter 6 Multivalued Perturbations
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    Chapter 7 CF-Perturbations and Integration Along the Fiber (Pushout)
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    Chapter 8 Stokes’ Formula
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    Chapter 9 From Good Coordinate Systems to Kuranishi Structures and Back with CF-Perturbations
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    Chapter 10 Composition Formula of Smooth Correspondences
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    Chapter 11 Construction of Good Coordinate Systems
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    Chapter 12 Construction of CF-Perturbations
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    Chapter 13 Construction of Multivalued Perturbations
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    Chapter 14 Zero-and One-Dimensional Cases via Multivalued Perturbation
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    Chapter 15 Introduction to Part II
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    Chapter 16 Linear K-Systems: Floer Cohomology I – Statement
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    Chapter 17 Extension of a Kuranishi Structure and Its Perturbation from Boundary to Its Neighborhood
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    Chapter 18 Corner Smoothing and Composition of Morphisms
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    Chapter 19 Linear K-Systems: Floer Cohomology II – Proof
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    Chapter 20 Linear K-Systems: Floer Cohomology III – Morse Case by Multisection
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    Chapter 21 Tree-Like K-Systems: A ∞ Structure I – Statement
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    Chapter 22 Tree-Like K-Systems: A ∞ Structure II – Proof
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    Chapter 23 Orbifolds and Orbibundles by Local Coordinates
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    Chapter 24 Covering Space of Effective Orbifolds and K-Spaces
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    Chapter 25 Admissible Kuranishi Structures
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    Chapter 26 Stratified Submersion to a Manifold with Corners
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    Chapter 27 Local System and Smooth Correspondence in de Rham Theory with Twisted Coefficients
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    Chapter 28 Composition of KG-and GG-Embeddings: Proof of Lemma 3.34
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    Chapter 29 Global Quotients and Orbifolds
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Title
Kuranishi Structures and Virtual Fundamental Chains
Published by
Springer Singapore, November 2020
DOI 10.1007/978-981-15-5562-6
ISBNs
978-9-81-155561-9, 978-9-81-155562-6
Authors

Fukaya, Kenji, Oh, Yong-Geun, Ohta, Hiroshi, Ono, Kaoru

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