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Hardback. Zustand: New. This open access book is a tribute to the profound contributions of Professor Bumsig Kim in the field of mathematics, particularly in the realm of mirror symmetry. Mirror symmetry is a fascinating duality between complex/algebraic geometry and symplectic geometry, manifesting in various ways. One of the foundational examples of this duality is the comparison of period integrals on a complex manifold with curve counts (enumerative invariants) on its mirror. This vision was ultimately realized through the Quasimap Wall-Crossing Formula, developed by Bumsig Kim and his collaborators.The book delves into the methods for counting curves, including Gromov-Witten theory and Fan-Jarvis-Ruan-Witten theory. In his final works, Kim and various groups of collaborators achieved methods for counting curves on gauged linear sigma models, effectively unifying Gromov-Witten and Fan-Jarvis-Ruan-Witten theory. This monumental effort involved constructing categorical frameworks and developing a dictionary between categorical and classical homological constructions.As a conference proceedings volume, this book is a collaborative effort by Professor Kim's network of colleagues. It explores the intricate connections between categorical and enumerative aspects of mirror symmetry, showcasing the depth and breadth of Kim's work. Through detailed discussions and presentations, the book highlights the innovative approaches and groundbreaking results that have shaped the field.Readers will find a comprehensive overview of the latest advancements in mirror symmetry, enriched by the collaborative spirit and intellectual rigor that characterized Professor Kim's career. This volume not only honors his legacy but also serves as a valuable resource for researchers and students seeking to understand and build upon his pioneering work. Whether you are new to the field or an experienced mathematician, this book offers a wealth of knowledge and insights into the complex and beautiful world of mirror symmetry.…

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Paperback. Zustand: Brand New. 96 pages. 7.01x0.28x9.96 inches. In Stock.

Paperback. Zustand: New. We define enumerative invariants associated to a hybrid Gauged Linear Sigma Model. We prove that in the relevant special cases these invariants recover both the Gromov-Witten type invariants defined by Chang-Li and Fan-Jarvis-Ruan using cosection localization as well as the FJRW type invariants constructed by Polishchuk-Vaintrob. The invariants are defined by constructing a "fundamental factorization" supported on the moduli space of Landau-Ginzburg maps to a convex hybrid model. This gives the kernel of a Fourier-Mukai transform; the associated map on Hochschild homology defines our theory.…

paperback. Zustand: Sehr gut. 96 Seiten; 9781470465438.2 Gewicht in Gramm: 1.

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This open access book is a tribute to the profound contributions of Professor Bumsig Kim in the field of mathematics, particularly in the realm of mirror symmetry. Mirror symmetry is a fascinating duality between complex/algebraic geometry and symplectic geometry, manifesting in various ways. One of the foundational examples of this duality is the comparison of period integrals on a complex manifold with curve counts (enumerative invariants) on its mirror. This vision was ultimately realized through the Quasimap Wall-Crossing Formula, developed by Bumsig Kim and his collaborators.The book delves into the methods for counting curves, including Gromov Witten theory and Fan Jarvis Ruan Witten theory. In his final works, Kim and various groups of collaborators achieved methods for counting curves on gauged linear sigma models, effectively unifying Gromov Witten and Fan Jarvis Ruan Witten theory. This monumental effort involved constructing categorical frameworks and developing a dictionary between categorical and classical homological constructions.As a conference proceedings volume, this book is a collaborative effort by Professor Kim s network of colleagues. It explores the intricate connections between categorical and enumerative aspects of mirror symmetry, showcasing the depth and breadth of Kim's work. Through detailed discussions and presentations, the book highlights the innovative approaches and groundbreaking results that have shaped the field.Readers will find a comprehensive overview of the latest advancements in mirror symmetry, enriched by the collaborative spirit and intellectual rigor that characterized Professor Kim's career. This volume not only honors his legacy but also serves as a valuable resource for researchers and students seeking to understand and build upon his pioneering work. Whether you are new to the field or an experienced mathematician, this book offers a wealth of knowledge and insights into the complex and beautiful world of mirror symmetry.…

Hardcover. Zustand: Brand New. 249 pages. 9.25x6.10x9.21 inches. In Stock.

Hardback. Zustand: New. This open access book is a tribute to the profound contributions of Professor Bumsig Kim in the field of mathematics, particularly in the realm of mirror symmetry. Mirror symmetry is a fascinating duality between complex/algebraic geometry and symplectic geometry, manifesting in various ways. One of the foundational examples of this duality is the comparison of period integrals on a complex manifold with curve counts (enumerative invariants) on its mirror. This vision was ultimately realized through the Quasimap Wall-Crossing Formula, developed by Bumsig Kim and his collaborators.The book delves into the methods for counting curves, including Gromov-Witten theory and Fan-Jarvis-Ruan-Witten theory. In his final works, Kim and various groups of collaborators achieved methods for counting curves on gauged linear sigma models, effectively unifying Gromov-Witten and Fan-Jarvis-Ruan-Witten theory. This monumental effort involved constructing categorical frameworks and developing a dictionary between categorical and classical homological constructions.As a conference proceedings volume, this book is a collaborative effort by Professor Kim's network of colleagues. It explores the intricate connections between categorical and enumerative aspects of mirror symmetry, showcasing the depth and breadth of Kim's work. Through detailed discussions and presentations, the book highlights the innovative approaches and groundbreaking results that have shaped the field.Readers will find a comprehensive overview of the latest advancements in mirror symmetry, enriched by the collaborative spirit and intellectual rigor that characterized Professor Kim's career. This volume not only honors his legacy but also serves as a valuable resource for researchers and students seeking to understand and build upon his pioneering work. Whether you are new to the field or an experienced mathematician, this book offers a wealth of knowledge and insights into the complex and beautiful world of mirror symmetry.…

Paperback. Zustand: New. We define enumerative invariants associated to a hybrid Gauged Linear Sigma Model. We prove that in the relevant special cases these invariants recover both the Gromov-Witten type invariants defined by Chang-Li and Fan-Jarvis-Ruan using cosection localization as well as the FJRW type invariants constructed by Polishchuk-Vaintrob. The invariants are defined by constructing a "fundamental factorization" supported on the moduli space of Landau-Ginzburg maps to a convex hybrid model. This gives the kernel of a Fourier-Mukai transform; the associated map on Hochschild homology defines our theory.…

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Zustand: gut. 2023. Fundamental Factorization of a GLSM Part I: Construction (Memoirs of the American Mathematical Society) In englischer Sprache. pages.

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Zustand: New. In English.

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Taschenbuch. Zustand: Neu. Superschool on Derived Categories and D-branes | Edmonton, Canada, July 17-23, 2016 | Matthew Ballard (u. a.) | Taschenbuch | Springer Proceedings in Mathematics & Statistics | ix | Englisch | 2019 | Springer | EAN 9783030062705 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics. These lectures were provided by participants in the PIMS Superschool for Derived Categories and D-branes in July 2016. Together, they form a comprehensive introduction to the field that integrates perspectives from mathematicians and physicists alike. These proceedings provide a pleasant and broad introduction into modern research topics surrounding string theory and mirror symmetry that is approachable to readers new to the subjects. These topics include constructions of various mirror pairs, approaches to mirror symmetry, connections to homological algebra, and physical motivations. Of particular interest is the connection between GLSMs, D-branes, birational geometry, and derived categories, which is explained both from a physical and mathematical perspective. The introductory lectures provided herein highlight many features of this emerging field and give concrete connections between the physics and the math.Mathematical readers will come away with a broader perspective on this field and a bit of physical intuition, while physicists will gain an introductory overview of the developing mathematical realization of physical predictions. …

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics. These lectures were provided by participants in the PIMS Superschool for Derived Categories and D-branes in July 2016. Together, they form a comprehensive introduction to the field that integrates perspectives from mathematicians and physicists alike. These proceedings provide a pleasant and broad introduction into modern research topics surrounding string theory and mirror symmetry that is approachable to readers new to the subjects. These topics include constructions of various mirror pairs, approaches to mirror symmetry, connections to homological algebra, and physical motivations. Of particular interest is the connection between GLSMs, D-branes, birational geometry, and derived categories, which is explained both from a physical and mathematical perspective. The introductory lectures provided herein highlight many features of this emerging field and give concrete connections between the physics and the math.Mathematical readers will come away with a broader perspective on this field and a bit of physical intuition, while physicists will gain an introductory overview of the developing mathematical realization of physical predictions.…

Zustand: New. Softcover reprint of the original 1st ed. 2018 edition NO-PA16APR2015-KAP.