"Local structures, like differentiable manifolds, fibre bundles, vector bundles and foliations, can be obtained by gluing together a family of suitable 'elementary spaces', by means of partial homeomorphisms that fix the gluing conditions and form a sort of 'intrinsic atlas', in…
"This book is an introduction to fiber bundles and fibrations. But the ultimate goal is to make the reader feel comfortable with basic ideas in homotopy theory. The author found that the classification of principal fiber bundles is an ideal motivation for this purpose. The notio…
"This book is an introduction to fiber bundles and fibrations. But the ultimate goal is to make the reader feel comfortable with basic ideas in homotopy theory. The author found that the classification of principal fiber bundles is an ideal motivation for this purpose. The notio…
"This book is an introduction to fiber bundles and fibrations. But the ultimate goal is to make the reader feel comfortable with basic ideas in homotopy theory. The author found that the classification of principal fiber bundles is an ideal motivation for this purpose. The notio…
This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids. The concept of Lie groupoid is a little-known formulation of the concept of principal bundle and corresponding to the Lie algebra of a Lie grou…
This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids.
This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids. The concept of Lie groupoid is a little-known formulation of the concept of principal bundle and corresponding to the Lie algebra of a Lie grou…
"The main aim of this book is to give a self contained proof of the Verlinde formula for the dimension of the space of conformal blocks and prove the connection between conformal blocks and generalized theta functions"--
An introduction to affine lie algebras and the associated groups -- Space of vacua and its propagation -- Factorization theorem for space of vacua -- Fusion ring and explicit verlinde formula -- Moduli stack of quasi-parabolic G-bundles and its uniformization -- Parabolic G-bund…
"The main aim of this book is to give a self contained proof of the Verlinde formula for the dimension of the space of conformal blocks and prove the connection between conformal blocks and generalized theta functions"