Book Review: Three-dimensional geometry and topology
نویسندگان
چکیده
منابع مشابه
Low-dimensional topology and geometry.
A t the core of low-dimensional topology has been the classification of knots and links in the 3-sphere and the classification of 3and 4-dimensional manifolds (see Wikipedia for the definitions of basic topological terms). Beginning with the introduction of hyperbolic geometry into knots and 3-manifolds by W. Thurston in the late 1970s, geometric tools have become vital to the subject. Next cam...
متن کاملThe Geometry and Topology of Three - Manifolds
This is an electronic edition of the 1980 notes distributed by Princeton University. The text was typed in T E X by Sheila Newbery, who also scanned the figures. Typos have been corrected (and probably others introduced), but otherwise no attempt has been made to update the contents. Genevieve Walsh compiled the index. Numbers on the right margin correspond to the original edition's page number...
متن کاملQuasicrystals and geometry: a Book Review
Penrose tilings (Fig. 1) are beautiful. They also suggest significant new mathematics, so it is about time someone wrote a book about them which is readable (in fact, eminently readable) by mathematicians. The book, Quasicrystals and geometry, by Marjorie Senechal, has an even broader goal: to present certain developments in crystallography from the past decade. The developments were generated ...
متن کاملDAMAGE IDENTIFICATION BY USING MODAL EXPANSION AND TOPOLOGY OPTIMIZATION IN THREE DIMENSIONAL ELASTICITY PROBLEMS
In this paper, topology optimization is utilized for damage detection in three dimensional elasticity problems. In addition, two mode expansion techniques are used to derive unknown modal data from measured data identified by installed sensors. Damages in the model are assumed as reduction of mass and stiffness in the discretized finite elements. The Solid Isotropic Material with Penalization (...
متن کاملThree-dimensional quantum geometry and black holes
We review some aspects of three-dimensional quantum gravity with emphasis in the ‘CFT → Geometry’ map that follows from the BrownHenneaux conformal algebra. The general solution to the classical equations of motion with anti-de Sitter boundary conditions is displayed. This solution is parametrized by two functions which become Virasoro operators after quantisation. A map from the space of state...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1998
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-98-00748-4