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# Documents  Purcell, Jessica | enregistrements trouvés : 4

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## Structure of hyperbolic manifolds - Lecture 1 Purcell, Jessica | CIRM H

Post-edited

In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions that allow us to use these simpler pieces to determine information about the hyperbolic geometry of the original manifold. Most of the tools we present were developed in the 1970s, 80s, and 90s, but continue to have modern applications. In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions that allow us to use these simpler pieces to determine information about the hyperbolic geometry of the original manifold. Most of the tools we present were developed in ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Structure of hyperbolic manifolds - Lecture 3 Purcell, Jessica | CIRM H

Multi angle

In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions that allow us to use these simpler pieces to determine information about the hyperbolic geometry of the original manifold. Most of the tools we present were developed in the 1970s, 80s, and 90s, but continue to have modern applications. In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions that allow us to use these simpler pieces to determine information about the hyperbolic geometry of the original manifold. Most of the tools we present were developed in ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Structure of hyperbolic manifolds - Lecture 2 Purcell, Jessica | CIRM H

Multi angle

In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions that allow us to use these simpler pieces to determine information about the hyperbolic geometry of the original manifold. Most of the tools we present were developed in the 1970s, 80s, and 90s, but continue to have modern applications. In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions that allow us to use these simpler pieces to determine information about the hyperbolic geometry of the original manifold. Most of the tools we present were developed in ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Guts of surfaces and the colored Jones polynomial Futer, David ; Kalfagianni, Efstratia ; Purcell, Jessica | Springer 2013

Ouvrage

- x; 170 p.
ISBN 978-3-642-33301-9

Lecture notes in mathematics , 2069

Localisation : Collection 1er étage

polynôme de Jones # invariant des noeuds # théorie géométrique des invariants # invariant quantique

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