3-manifolds (under construction)

General Texts:

William Thurston's notes on the geometry and topology of 3-manifolds

Notes on Basic 3-Manifold Topology, Allan Hatcher

Marc Lackenby's notes

Geometric structures on 3-manifolds F. Bonahon

3-manifolds course by Vivien Easson

 

Hyperbolic 3-Manifolds:

Draft of the book "Outer Circles, an introduction to hyperbolic 3 manifolds", by Albert Marden

Hyperbolic 3-manifolds with trivial finite type invariants H. Murakami

Representations of 3-manifold groups P. Shalen

Sissors congruence: The birth of Hyperbolic volume G. Leibon

 

Knots

 

Seifert fibered spaces

notes for a course on Seifert fibered spaces M. Brin

A short survey of lens spaces M. Watkins

 

 

Ricci flow and Geometrization:

Survey Presentation by S.Yau

 

Dynamical systems and Kleinian groups:

Rational maps and Kleinian groups C. McMullen

rigidity and flexibility in dynamics C. McMullen

Pleating Coordinates for Once Punctured Tori, in Hyperbolic Spaces 6 lectures by C. Series

 

Real algebraic Threefolds:

Janos Kollar's preprints

 

3-manifolds in Cosmology, cosmic topology

Are small hyperbolic universes observationally detectable? G. Gomero, M. Reboucas, R. Tavakol

Statistical Mechanics of 2+1 Gravity From Riemann Zeta Function and Alexander Polynomial:Exact Results A. Kholodenko

Cosmic topology : M. Lachieze-Rey, J.P.Luminet

Topology and the Cosmic Microwave Background J. Levin

 

Torsion invariants:

Notes on Reidemeister Torsion A. Ranicki

Notes on the Reidemeister Torsion L. Nicolaescu

 

 

 

Software:

Computop.org

Courses:

Math 277: Topology and Geometry of 3-manifolds (Fall 2000) Harvard, N. Dunfield