As the interaction of mathematics and theoretical physics continues to intensify, the theories developed in mathematics are being applied to physics, and conversely. This book centers around the theory of primitive forms which currently plays an active and key role in topological field theory (theoretical physics), but was originally developed as a mathematical notion to define a "good period mapping" for a family of analytic structures. The invited papers in this volume are expository in nature by participants of the Taniguchi Symposium on "Topological Field Theory, Primitive Forms and Related Topics" and the RIMS Symposium bearing the same title, both held in Kyoto. The papers reflect the broad research of some of the world's leading mathematical physicists, and should serve as an excellent resource for researchers as well as graduate students of both disciplines.
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multilinear category, elliptic root system, quantum cohomology algebra, multilinear categories, momentum polyhedron, maximal triangulation, corresponding conformal modules, cyclotomic exponents, exponential lifting, paramodular group, primitive element property, arithmetic lifting, higher residue pairings, vertex algebras, holomorphic pieces, reflexive polytopes, fusion graphs, covariantly constant sections, vertex group, elliptic genus, quiver diagram, topological string theory, toric manifolds, gravitational descendants, virtual fundamental class Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Lorentzian Kac-Moody, Kyoto Univ, Pure Math, Duke Math, W-invariant Laurent, Compositio Math, Department of Mathematics, Virtual Normal Euler Class, The Borel, Inventiones Math, Princeton Univ, Tôhoku Math, World Scientific New!
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multilinear category, elliptic root system, quantum cohomology algebra, multilinear categories, momentum polyhedron, maximal triangulation, corresponding conformal modules, cyclotomic exponents, exponential lifting, paramodular group, primitive element property, arithmetic lifting, higher residue pairings, vertex algebras, holomorphic pieces, reflexive polytopes, fusion graphs, covariantly constant sections, vertex group, elliptic genus, quiver diagram, topological string theory, toric manifolds, gravitational descendants, virtual fundamental class Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Lorentzian Kac-Moody, Kyoto Univ, Pure Math, Duke Math, W-invariant Laurent, Compositio Math, Department of Mathematics, Virtual Normal Euler Class, The Borel, Inventiones Math, Princeton Univ, Tôhoku Math, World Scientific New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 20
books:
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- Elliptic Functions (Graduate Texts in Mathematics) by Serge Lang on page 302, and page 303
- Infinite-Dimensional Lie Algebras by Victor G. Kac on page 451, and Back Matter
- Mirror Symmetry (Clay Mathematics Monographs, V. 1) by Kentaro Hori on page 240, and page 264
- Essays on Mirror Manifolds (Mathematical Physics) by Shing-Tung Yau on page 237, and page 265
- Lectures on Polytopes (Graduate Texts in Mathematics) by Gunter M. Ziegler on page 265
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