Author: François CharestPublisher: American Mathematical Society
ISBN: 147045310X
Category : Mathematics
Languages : en
Pages : 178
Book Description
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Floer Cohomology and Flips
Author: François CharestPublisher: American Mathematical Society
ISBN: 147045310X
Category : Mathematics
Languages : en
Pages : 178
Book Description
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Symplectic Topology and Floer Homology
Author: Yong-Geun OhPublisher: Cambridge University Press
ISBN: 1107109671
Category : Mathematics
Languages : en
Pages : 471
Book Description
The second part of a two-volume set offering a systematic explanation of symplectic topology. This volume provides a comprehensive introduction to Hamiltonian and Lagrangian Floer theory.
Floer Homology Groups in Yang-Mills Theory
Author: S. K. DonaldsonPublisher: Cambridge University Press
ISBN: 9781139432603
Category : Mathematics
Languages : en
Pages : 254
Book Description
The concept of Floer homology was one of the most striking developments in differential geometry. It yields rigorously defined invariants which can be viewed as homology groups of infinite-dimensional cycles. The ideas led to great advances in the areas of low-dimensional topology and symplectic geometry and are intimately related to developments in Quantum Field Theory. The first half of this book gives a thorough account of Floer's construction in the context of gauge theory over 3 and 4-dimensional manifolds. The second half works out some further technical developments of the theory, and the final chapter outlines some research developments for the future - including a discussion of the appearance of modular forms in the theory. The scope of the material in this book means that it will appeal to graduate students as well as those on the frontiers of the subject.
Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models
Author: Sebastian Casalaina-MartinPublisher: American Mathematical Society
ISBN: 1470460203
Category : Mathematics
Languages : en
Pages : 112
Book Description
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Twenty-Four Hours of Local Cohomology
Author: Srikanth B. IyengarPublisher: American Mathematical Society
ISBN: 1470471590
Category : Mathematics
Languages : en
Pages : 108
Book Description
This book is aimed to provide an introduction to local cohomology which takes cognizance of the breadth of its interactions with other areas of mathematics. It covers topics such as the number of defining equations of algebraic sets, connectedness properties of algebraic sets, connections to sheaf cohomology and to de Rham cohomology, Gröbner bases in the commutative setting as well as for $D$-modules, the Frobenius morphism and characteristic $p$ methods, finiteness properties of local cohomology modules, semigroup rings and polyhedral geometry, and hypergeometric systems arising from semigroups. The book begins with basic notions in geometry, sheaf theory, and homological algebra leading to the definition and basic properties of local cohomology. Then it develops the theory in a number of different directions, and draws connections with topology, geometry, combinatorics, and algorithmic aspects of the subject.
Planar Algebras in Braided Tensor Categories
Author: André Gil HenriquesPublisher: American Mathematical Society
ISBN: 1470455404
Category : Mathematics
Languages : en
Pages : 100
Book Description
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Partial Compactification of Monopoles and Metric Asymptotics
Author: Chris KottkePublisher: American Mathematical Society
ISBN: 1470455412
Category : Mathematics
Languages : en
Pages : 124
Book Description
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Hypergeometric Functions Over Finite Fields
Author: Jenny FuselierPublisher: American Mathematical Society
ISBN: 1470454335
Category : Mathematics
Languages : en
Pages : 138
Book Description
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Adiabatic Evolution and Shape Resonances
Author: Michael HitrikPublisher: American Mathematical Society
ISBN: 1470454211
Category : Mathematics
Languages : en
Pages : 102
Book Description
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A Probabilistic Approach to Classical Solutions of the Master Equation for Large Population Equilibria
Author: Jean-François ChassagneuxPublisher: American Mathematical Society
ISBN: 1470453754
Category : Mathematics
Languages : en
Pages : 136
Book Description
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