Homotopy Equivalences of 3-Manifolds and Deformation Theory of Kleinian Groups (Memoirs of the American Mathematical Society) - Image 1

Out of stock

This item is currently unavailable

Homotopy Equivalences of 3-Manifolds and Deformation Theory of Kleinian Groups (Memoirs of the American Mathematical Society)

Complex Analysis

Out of stock

Price data last checked 10 day(s) ago - will refresh soon

View at Amazon

One email. No newsletter. No nudges.

Gone for 47 days. Could come back at any time — we're watching for you.

Out of stock 47 days · last price £78 · longest previous gap was 1 days

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 81 days · 81 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 81 days • 1 price levels

Days at Price

Price Analysis

Most common price: £78 (81 days, 100.0%)

Price range: £78 - £78

Price levels: 1 different prices over 81 days

Description

This text investigates a natural question arising in the topological theory of $3$-manifolds, and applies the results to give new information about the deformation theory of hyperbolic $3$-manifolds. It is well known that some compact $3$-manifolds with boundary admit homotopy equivalences that are not homotopic to homeomorphisms. We investigate when the subgroup $\mathcal{R}(M)$ of outer automorphisms of $\pi_1(M)$ which are induced by homeomorphisms of a compact $3$-manifold $M$ has finite index in the group $\operatorname{Out}(\pi_1(M))$ of all outer automorphisms. This question is completely resolved for Haken $3$-manifolds.It is also resolved for many classes of reducible $3$-manifolds and $3$-manifolds with boundary patterns, including all pared $3$-manifolds. The components of the interior $\operatorname{GF}(\pi_1(M))$ of the space $\operatorname{AH}(\pi_1(M))$ of all (marked) hyperbolic $3$-manifolds homotopy equivalent to $M$ are enumerated by the marked homeomorphism types of manifolds homotopy equivalent to $M$, so one may apply the topological results above to study the topology of this deformation space.We show that $\operatorname{GF}(\pi_1(M))$ has finitely many components if and only if either $M$ has incompressible boundary, but no 'double trouble', or $M$ has compressible boundary and is 'small'. (A hyperbolizable $3$-manifold with incompressible boundary has double trouble if and only if there is a thickened torus component of its characteristic submanifold which intersects the boundary in at least two annuli). More generally, the deformation theory of hyperbolic structures on pared manifolds is analyzed. Some expository sections detail Johannson's formulation of the Jaco-Shalen-Johannson characteristic submanifold theory, the topology of pared $3$-manifolds, and the deformation theory of hyperbolic $3$-manifolds. An epilogue discusses related open problems and recent progress in the deformation theory of hyperbolic $3$-manifolds.

Product Specifications

Format: mass_market
ASIN: 0821835491
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Complex Analysis
Domain: Amazon UK
Release Date: 02 December 2004
Listed Since: 18 December 2006

Barcode

No barcode data available

Homotopy Equivalences of 3-Manifolds and Deformation Theory of Kleinian Groups (Memoirs of the American Mathematical Society)

Gone for 47 days. Could come back at any time — we're watching for you.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Geometry of Hypersurfaces (Springer Monographs in Mathematics)

Celebrating the 50th Anniversary of the Journal of Differential Geometry: Lectures given at the Geometry and Topology Conference at Harvard University in 2017 (Surveys in Differential Geometry)

Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications: 364 (Mathematics and Its Applications, 364)

Lectures on Hyperbolic Geometry (Universitext)

Seifert Fiberings (Mathematical Surveys and Monographs)

Projective Differential Geometry of Submanifolds

Kleinian Groups and Hyperbolic 3-Manifolds: Proceedings of the Warwick Workshop, September 11-14, 2001: Series Number 299 (London Mathematical Society Lecture Note Series, Series Number 299)

The Structure of Classical Diffeomorphism Groups: 400 (Mathematics and Its Applications, 400)

The Geometric Hopf Invariant and Surgery Theory (Springer Monographs in Mathematics)

Principles of Locally Conformally Kähler Geometry: 354 (Progress in Mathematics, 354)

Geometry and Topology of Submanifolds and Currents (Contemporary Mathematics): 2013 Midwest Geometry Conference (MGC XIX) October 19, 2013 Oklahoma ... 2012 University of Oklahoma, Norman, OK

Classical and Discrete Differential Geometry: Theory, Applications and Algorithms

Submanifolds and Holonomy (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

The Kobayashi-Hitchin Correspondence

Prospects in Topology: Proceedings of a Conference in Honor of William Browder: 138 (Annals of Mathematics Studies, 138)

Lectures On The Geometry Of Manifolds (2Nd Edition)

CR Embedded Submanifolds of CR Manifolds (Memoirs of the American Mathematical Society)

Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces: 115 (Graduate Texts in Mathematics, 115)

Geometry of Submanifolds (Contemporary Mathematics)

Geometry VI: Riemannian Geometry: 91 (Encyclopaedia of Mathematical Sciences, 91)

Differential Geometry Of Curves And Surfaces

Elements of Differential Topology

Differential Geometry in the Large: Series Number 463 (London Mathematical Society Lecture Note Series, Series Number 463)

The Geometrization Conjecture (Clay Mathematics Monographs)