Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces
| Author | : I͡U. I. Manin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 330 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 9780821874752 |
Frobenius Manifolds
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Frobenius Manifolds
| Author | : Claus Hertling |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 384 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3322802361 |
Quantum cohomology, the theory of Frobenius manifolds and the relations to integrable systems are flourishing areas since the early 90's. An activity was organized at the Max-Planck-Institute for Mathematics in Bonn, with the purpose of bringing together the main experts in these areas. This volume originates from this activity and presents the state of the art in the subject.
Frobenius Manifolds and Moduli Spaces for Singularities
| Author | : Claus Hertling |
| Publisher | : Cambridge University Press |
| Total Pages | : 292 |
| Release | : 2002-07-25 |
| Genre | : Mathematics |
| ISBN | : 9780521812962 |
This book presents the theory of Frobenius manifolds, as well as all the necessary tools and several applications.
Isomonodromic Deformations and Frobenius Manifolds
| Author | : Claude Sabbah |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 290 |
| Release | : 2007-12-20 |
| Genre | : Mathematics |
| ISBN | : 1848000545 |
Based on a series of graduate lectures, this book provides an introduction to algebraic geometric methods in the theory of complex linear differential equations. Starting from basic notions in complex algebraic geometry, it develops some of the classical problems of linear differential equations. It ends with applications to recent research questions related to mirror symmetry. The fundamental tool used is that of a vector bundle with connection. The book includes complete proofs, and applications to recent research questions. Aimed at graduate students and researchers, the book assumes some familiarity with basic complex algebraic geometry.
Geometry, Topology, and Mathematical Physics
| Author | : V. M. Buchstaber |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 338 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 9780821836132 |
The second half of the 20th century and its conclusion : crisis in the physics and mathematics community in Russia and in the West -- Interview with Sergey P. Novikov -- The w-function of the KdV hierarchy -- On the zeta functions of a meromorphic germ in two variables -- On almost duality for Frobenius manifolds -- Finitely presented semigroups in knot theory. Oriented case -- Topological robotics : subspace arrangements and collision free motion planning -- The initial-boundary value problem on the interval for the nonlinear Schrödinger equation. The algebro-geometric approach. I -- On odd Laplace operators. II -- From 2D Toda hierarchy to conformal maps for domains of the Riemann sphere --Integrable chains on algebraic curves -- Fifteen years of KAM for PDE -- Graded filiform Lie algebras and symplectic nilmanifolds --Adiabatic limit in the Seiberg-Witten equations -- Affine Krichever-Novikov algebras, their representations and applications -- Tame integrals of motion and o-minimal structures.
Gauge Theory and Symplectic Geometry
| Author | : Jacques Hurtubise |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 227 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 9401716676 |
Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developments in these areas, includes some of the first expository material of Seiberg-Witten theory, which has revolutionised the subjects since its introduction in late 1994. Topics covered include: introductions to Seiberg-Witten theory, to applications of the S-W theory to four-dimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudo-holomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, Morse-Floer theory; pseudo-convexity and its relations to symplectic geometry; generating functions; Frobenius manifolds and topological quantum field theory.
Gauge Theory and Symplectic Geometry
| Author | : Jacques Hurtubise |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 242 |
| Release | : 1997-03-31 |
| Genre | : Mathematics |
| ISBN | : 9780792345008 |
Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developments in these areas, includes some of the first expository material of Seiberg-Witten theory, which has revolutionised the subjects since its introduction in late 1994. Topics covered include: introductions to Seiberg-Witten theory, to applications of the S-W theory to four-dimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudo-holomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, Morse-Floer theory; pseudo-convexity and its relations to symplectic geometry; generating functions; Frobenius manifolds and topological quantum field theory.
Differential Geometry And Its Applications - Proceedings Of The 10th International Conference On Dga2007
| Author | : Demeter Krupka |
| Publisher | : World Scientific |
| Total Pages | : 732 |
| Release | : 2008-07-14 |
| Genre | : Mathematics |
| ISBN | : 9814471941 |
This volume contains invited lectures and selected research papers in the fields of classical and modern differential geometry, global analysis, and geometric methods in physics, presented at the 10th International Conference on Differential Geometry and its Applications (DGA2007), held in Olomouc, Czech Republic.The book covers recent developments and the latest results in the following fields: Riemannian geometry, connections, jets, differential invariants, the calculus of variations on manifolds, differential equations, Finsler structures, and geometric methods in physics. It is also a celebration of the 300th anniversary of the birth of one of the greatest mathematicians, Leonhard Euler, and includes the Euler lecture “Leonhard Euler — 300 years on” by R Wilson. Notable contributors include J F Cariñena, M Castrillón López, J Erichhorn, J-H Eschenburg, I Kolář, A P Kopylov, J Korbaš, O Kowalski, B Kruglikov, D Krupka, O Krupková, R Léandre, Haizhong Li, S Maeda, M A Malakhaltsev, O I Mokhov, J Muñoz Masqué, S Preston, V Rovenski, D J Saunders, M Sekizawa, J Slovák, J Szilasi, L Tamássy, P Walczak, and others.
Complex, Contact and Symmetric Manifolds
| Author | : Oldrich Kowalski |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 277 |
| Release | : 2007-07-28 |
| Genre | : Mathematics |
| ISBN | : 0817644245 |
* Contains research and survey articles by well known and respected mathematicians on recent developments and research trends in differential geometry and topology * Dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields * Papers include all necessary introductory and contextual material to appeal to non-specialists, as well as researchers and differential geometers
Real And Complex Singularities
| Author | : David Mond |
| Publisher | : CRC Press |
| Total Pages | : 348 |
| Release | : 2019-07-17 |
| Genre | : Mathematics |
| ISBN | : 9780203912089 |
This text offers a selection of papers on singularity theory presented at the Sixth Workshop on Real and Complex Singularities held at ICMC-USP, Brazil. It should help students and specialists to understand results that illustrate the connections between singularity theory and related fields. The authors discuss irreducible plane curve singularities, openness and multitransversality, the distribution Afs and the real asymptotic spectrum, deformations of boundary singularities and non-crystallographic coxeter groups, transversal Whitney topology and singularities of Haefliger foliations, the topology of hypersurface singularities, polar multiplicities and equisingularity of map germs from C3 to C4, and topological invariants of stable maps from a surface to the plane from a global viewpoint.
