skip to content
Geometric transitions : from hyperbolic to Ads geometry Preview this item
ClosePreview this item
Checking...

Geometric transitions : from hyperbolic to Ads geometry

Author: Jeffrey Edward Danciger; Steve Kerckhoff; G Carlsson; Maryam Mirzakhani; Stanford University. Department of Mathematics.
Publisher: 2011.
Dissertation: Thesis (Ph. D.)--Stanford University, 2011.
Edition/Format:   Thesis/dissertation : Document : Thesis/dissertation : eBook   Computer File : English
Database:WorldCat
Summary:
We introduce a geometric transition between two homogeneous three-dimensional geometries: hyperbolic geometry and anti de Sitter (AdS) geometry. Given a path of three-dimensional hyperbolic structures that collapse down onto a hyperbolic plane, we describe a method for constructing a natural continuation of this path into AdS structures. In particular, when hyperbolic cone manifolds collapse, the AdS manifolds  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Document, Thesis/dissertation, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jeffrey Edward Danciger; Steve Kerckhoff; G Carlsson; Maryam Mirzakhani; Stanford University. Department of Mathematics.
OCLC Number: 743406573
Notes: Submitted to the Department of Mathematics.
Description: 1 online resource.
Responsibility: Jeffrey Danciger.

Abstract:

We introduce a geometric transition between two homogeneous three-dimensional geometries: hyperbolic geometry and anti de Sitter (AdS) geometry. Given a path of three-dimensional hyperbolic structures that collapse down onto a hyperbolic plane, we describe a method for constructing a natural continuation of this path into AdS structures. In particular, when hyperbolic cone manifolds collapse, the AdS manifolds generated on the "other side" of the transition have tachyon singularities. The method involves the study of a new transitional geometry called half-pipe geometry. We also discuss combinatorial/algebraic tools for constructing transitions using ideal tetrahedra. Using these tools we prove that transitions can always be constructed when the underlying manifold is a punctured torus bundle.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


<http://www.worldcat.org/oclc/743406573>
library:oclcnum"743406573"
owl:sameAs<info:oclcnum/743406573>
rdf:typeschema:Book
rdf:typej.1:Thesis
rdf:typej.1:Web_document
schema:contributor
<http://viaf.org/viaf/139860406>
rdf:typeschema:Organization
schema:name"Stanford University. Department of Mathematics."
schema:contributor
schema:contributor
schema:contributor
schema:creator
schema:datePublished"2011"
schema:description"We introduce a geometric transition between two homogeneous three-dimensional geometries: hyperbolic geometry and anti de Sitter (AdS) geometry. Given a path of three-dimensional hyperbolic structures that collapse down onto a hyperbolic plane, we describe a method for constructing a natural continuation of this path into AdS structures. In particular, when hyperbolic cone manifolds collapse, the AdS manifolds generated on the "other side" of the transition have tachyon singularities. The method involves the study of a new transitional geometry called half-pipe geometry. We also discuss combinatorial/algebraic tools for constructing transitions using ideal tetrahedra. Using these tools we prove that transitions can always be constructed when the underlying manifold is a punctured torus bundle."@en
schema:exampleOfWork<http://worldcat.org/entity/work/id/961158795>
schema:inLanguage"en"
schema:name"Geometric transitions from hyperbolic to Ads geometry"@en
schema:url<http://purl.stanford.edu/ww956ty2392>
schema:url

Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.