This text provides a unified combinatorial realization of the categories of (closed, oriented) 3-manifolds, combed 3-manifolds, framed 3-manifolds and spin 3-manifolds. In all four cases the objects of the realization are finite enhanced graphs. These realizations are based on the notion of branched standard spine, introduced in the book as a combination of the notion of branched surface with that of standard spine. The book is intended for readers interested in low-dimensional topology, and some familiarity with the basics is assumed. A list of questions, some of which concern relations with the theory of quantum invariants, is included.
By:
Riccardo Benedetti, Carlo Petronio Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Country of Publication: Germany Edition: 1997 ed. Volume: 1653 Dimensions:
Height: 235mm,
Width: 155mm,
Spine: 8mm
Weight: 480g ISBN:9783540626275 ISBN 10: 3540626271 Series:Lecture Notes in Mathematics Pages: 140 Publication Date:20 March 1997 Audience:
Professional and scholarly
,
Undergraduate
Format:Paperback Publisher's Status: Active
Motivations, plan and statements.- A review on standard spines and o-graphs.- Branched standard spines.- Manifolds with boundary.- Combed closed manifolds.- More on combings, and the closed calculus.- Framed and spin manifolds.- Branched spines and quantum invariants.- Problems and perspectives.- Homology and cohomology computations.