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Kuranishi Structures and Virtual Fundamental Chains

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Description:The main purpose of this book is to present a complete self-contained explanation of the virtual fundamental chain technique via the Kuranishi structure introduced by Fukaya–Ono. This book consists of two parts and appendices (Part III).Part I studies spaces with Kuranishi structure individually. We focus on the construction of a virtual fundamental chain on each individual space equipped with Kuranishi structure, mainly employing the de Rham theory over the real coefficients. But we also include a self-contained account of the way we work out the construction over the rational coefficients, when the space with Kuranishi structure has dimension less than or equal to one. Application of this part covers the study of closed pseudo-holomorphic curves of any genus needed such as in the construction of (closed) Gromov–Witten invariants. Part II studies the system of spaces with Kuranishi structure which we call a K-system. We build an algebraic structure on certain cochain complexes arising from such a K-system. More specifically, we axiomatize two particular K-systems of moduli spaces, one appearing in the study of Floer cohomology of periodic Hamiltonian systems and the other appearing in the study of A∞ algebras in Lagrangian Floer theory.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Kuranishi Structures and Virtual Fundamental Chains. To get started finding Kuranishi Structures and Virtual Fundamental Chains, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 638

Format: PDF, EPUB & Kindle Edition

Publisher: Springer

Release: 2020

ISBN: 9811555613

Description: The main purpose of this book is to present a complete self-contained explanation of the virtual fundamental chain technique via the Kuranishi structure introduced by Fukaya–Ono. This book consists of two parts and appendices (Part III).Part I studies spaces with Kuranishi structure individually. We focus on the construction of a virtual fundamental chain on each individual space equipped with Kuranishi structure, mainly employing the de Rham theory over the real coefficients. But we also include a self-contained account of the way we work out the construction over the rational coefficients, when the space with Kuranishi structure has dimension less than or equal to one. Application of this part covers the study of closed pseudo-holomorphic curves of any genus needed such as in the construction of (closed) Gromov–Witten invariants. Part II studies the system of spaces with Kuranishi structure which we call a K-system. We build an algebraic structure on certain cochain complexes arising from such a K-system. More specifically, we axiomatize two particular K-systems of moduli spaces, one appearing in the study of Floer cohomology of periodic Hamiltonian systems and the other appearing in the study of A∞ algebras in Lagrangian Floer theory.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Kuranishi Structures and Virtual Fundamental Chains. To get started finding Kuranishi Structures and Virtual Fundamental Chains, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Kuranishi Structures and Virtual Fundamental Chains

Kuranishi Structures and Virtual Fundamental Chains

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