Branched Standard Spines Of 3-manifolds (lecture Notes In Mathematics)
by Riccardo Benedetti /
1997 / English / PDF
3.6 MB Download
This book provides a unified combinatorial realization of the
categroies 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, and only
finitely many local moves have to be taken into account. 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 concerning relations with the theory of quantum
invariants, is enclosed.
This book provides a unified combinatorial realization of the
categroies 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, and only
finitely many local moves have to be taken into account. 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 concerning relations with the theory of quantum
invariants, is enclosed.
