Categorical and Enumerative Aspects of Mirror Symmetry
Springer Verlag, Singapore
978-981-95-0384-1 (ISBN)
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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.
Nam-Gyu Kang is a professor at School of Mathematics in Korea Institute for Advanced Study and a director of June E Huh Center for Mathematical Challenges. Ionut Ciocan-Fontanine is a distinguished research fellow at Institute of Mathematics of Academia Sinica. David Favero is an associate professor at School of Mathematics of University of Minnesota. Yuan-Pin Lee is a director of Institute of Mathematics, Academia Sinica. Hyenho Lho is an associate professor at Department of Mathematics of Chungnam National University. Jeongseok Oh is an assistant professor at Department of Mathematical Sciences and Research Institute of Mathematics of Seoul National University.
Chapter 1 Gopakumar–Vafa invariants = quantum k-invariants on Calabi–Yau threefolds.- Chapter 2 twisted wild character varieties and gromov-witten invariants.- Chapter 3 Holomorphic anomaly equations for [c5~z5].- Chapter 4 Permutation-equivariant quantum K-theory ix. Quantum hirzebruch-riemann-rochin all genera.- Chapter 5 Calabi–Yau complete intersections in exceptional grassmannians.- Chapter 6 Virtual fundamental classes of the vanishing loci of cosections.- Chapter 7 Globalization of chern characters and canonical pairings.- Chapter 8 Bordered contact instantons and their fredholm theory and generic transversalities.- Chapter 9 Duality for Landau-Ginzburg models.- Chapter 10 A Kleiman criterion for git stack quotients.- Chapter 11 Derived categories of quot schemes of zero-dimensional quotients on curves.
| Erscheinungsdatum | 11.11.2025 |
|---|---|
| Reihe/Serie | KIAS Springer Series in Mathematics |
| Zusatzinfo | 15 Illustrations, color; 30 Illustrations, black and white |
| Verlagsort | Singapore |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Naturwissenschaften ► Physik / Astronomie | |
| Schlagworte | enumerative invariants • Fan-Jarvis-Ruan-Witten theory • GLSMs • Gromov-Witten Theory • Matrix Factorizations • mirror symmetry • open access • Quantum K-theory • quasimap theory |
| ISBN-10 | 981-95-0384-1 / 9819503841 |
| ISBN-13 | 978-981-95-0384-1 / 9789819503841 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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