Author: Oliver Lee CostichPublisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 102
Book Description
Poincare Duality Spaces
Author: Oliver Lee CostichPublisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 102
Book Description
Properties of Poincaré Duality Spaces
Author: Erle PettusPoincaré Duality Spaces
Author: John R. KleinGorenstein Spaces and Poincaré Duality Spaces
Author: Yves FélixPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 246
Book Description
On Spaces Satisfying Poincare Duality
Author: Michael David SpivakPublisher:
ISBN:
Category : Topology
Languages : en
Pages : 190
Book Description
Orbifolds and Stringy Topology
Author: Alejandro AdemPublisher: Cambridge University Press
ISBN: 1139464485
Category : Mathematics
Languages : en
Pages : 138
Book Description
An introduction to the theory of orbifolds from a modern perspective, combining techniques from geometry, algebraic topology and algebraic geometry. One of the main motivations, and a major source of examples, is string theory, where orbifolds play an important role. The subject is first developed following the classical description analogous to manifold theory, after which the book branches out to include the useful description of orbifolds provided by groupoids, as well as many examples in the context of algebraic geometry. Classical invariants such as de Rham cohomology and bundle theory are developed, a careful study of orbifold morphisms is provided, and the topic of orbifold K-theory is covered. The heart of this book, however, is a detailed description of the Chen-Ruan cohomology, which introduces a product for orbifolds and has had significant impact. The final chapter includes explicit computations for a number of interesting examples.
Mathematics For Physics: An Illustrated Handbook
Author: Adam MarshPublisher: World Scientific
ISBN: 9813233931
Category : Science
Languages : en
Pages : 301
Book Description
This unique book complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in undergraduate math and physics courses. The exposition is pedagogical but compact, and the emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions, alternative notations and jargon, and relevant facts and theorems. Special attention is given to detailed figures and geometric viewpoints. Certain topics which are well covered in textbooks, such as historical motivations, proofs and derivations, and tools for practical calculations, are avoided. The primary physical models targeted are general relativity, spinors, and gauge theories, with notable chapters on Riemannian geometry, Clifford algebras, and fiber bundles.
Poincaré Duality in Spaces with Singularities
Author: Clint McCroryPoincare Duality in Homology Manifolds
Author: Frank Albert RaymondPublisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 164
Book Description
Author: Yves Félix