Variations on a Theme of Borel: An Essay on the Role of the Fundamental Group in Rigidity

ISBN-13: 9781107142596 / Angielski / Twarda / 2022 / 351 str.

Shmuel (University of Chicago) Weinberger

Opis

Explains, using examples, the central role of the fundamental group in the geometry, global analysis, and topology of manifolds.

Spis treści

1. Introduction; 2. Examples of aspherical manifolds; 3. First contact – The proper category; 4. How can it be true?; 5. Playing the Novikov game; 6. Equivariant Borel conjecture; 7. Existential problems; 8. Epilogue – A survey of some techniques; References; Index.