Index Theory, Coarse Geometry, and Topology of Manifolds - J. Roe
These are the lecture notes from the conference 'Index Theory, Coarse Geometry,
and Topology of Manifolds' which was held in Boulder in August 1995. I have
adhered fairly closely to the original scheme of the lectures, although the notes
naturally contain rather more detail and in a few places (especially in lecture 7)
describe constructions that were finalized only after the lectures were delivered.
It is of the nature of this subject to require a rather diverse background. I
attempted to deal with this in the lectures by including a number of mini-surveys,
and in this book most of lectures i and 6 and large parts of lectures 2 and 3 are
devoted to such surveys. I hope that these will be useful.
The work reported on here has developed over a dozen years or so and
during that time I have had the pleasure of learning from a great number of
colleagues. Among them I would mention Alain Connes, Misha Gromov, Steve
Hurder, Jonathan Rosenberg, Stephan Stolz, and Guoliang Yu. More recently I
have benefited from the advice of Steve Ferry, Erik Pedersen, Andrew Ranicki,
and Shmuel Weinberger, all of whom have (among other things) answered the
numerous questions of a surgery neophyte with exemplary patience. Finally, a
major debt of gratitude is owed to Nigel Higson, with whom I have collaborated
on many of the projects that are summarized in this book.
- Index Theory, Coarse Geometry and Topology of Manifolds John Roe
- Language: English
- Page: 108
- Format: djvu
- ISBN: 0821804138, 9780821804131
- Publisher: American Mathematical Society
These are the lecture notes from the conference 'Index Theory, Coarse Geometry,
and Topology of Manifolds' which was held in Boulder in August 1995. I have
adhered fairly closely to the original scheme of the lectures, although the notes
naturally contain rather more detail and in a few places (especially in lecture 7)
describe constructions that were finalized only after the lectures were delivered.
It is of the nature of this subject to require a rather diverse background. I
attempted to deal with this in the lectures by including a number of mini-surveys,
and in this book most of lectures i and 6 and large parts of lectures 2 and 3 are
devoted to such surveys. I hope that these will be useful.
The work reported on here has developed over a dozen years or so and
during that time I have had the pleasure of learning from a great number of
colleagues. Among them I would mention Alain Connes, Misha Gromov, Steve
Hurder, Jonathan Rosenberg, Stephan Stolz, and Guoliang Yu. More recently I
have benefited from the advice of Steve Ferry, Erik Pedersen, Andrew Ranicki,
and Shmuel Weinberger, all of whom have (among other things) answered the
numerous questions of a surgery neophyte with exemplary patience. Finally, a
major debt of gratitude is owed to Nigel Higson, with whom I have collaborated
on many of the projects that are summarized in this book.
