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We give a self-contained introduction to the theory of shadows as a tool to study smooth 3-manifolds and 4-manifolds. The goal of the present paper is twofold: on the one hand, it is intended to be a shortcut to a basic use of the theory of shadows, on the other hand it gives a sketchy overview of some of the most recent results on shadows. No original result is proved here and most of the details of the proofs are left out.
Francesco Costantino. "A short introduction to shadows of 4-manifolds." Fundamenta Mathematicae 188.1 (2005): 271-291. <http://eudml.org/doc/282653>.
@article{FrancescoCostantino2005, abstract = {We give a self-contained introduction to the theory of shadows as a tool to study smooth 3-manifolds and 4-manifolds. The goal of the present paper is twofold: on the one hand, it is intended to be a shortcut to a basic use of the theory of shadows, on the other hand it gives a sketchy overview of some of the most recent results on shadows. No original result is proved here and most of the details of the proofs are left out.}, author = {Francesco Costantino}, journal = {Fundamenta Mathematicae}, keywords = {polyhedra; manifolds; shadow; spine}, language = {eng}, number = {1}, pages = {271-291}, title = {A short introduction to shadows of 4-manifolds}, url = {http://eudml.org/doc/282653}, volume = {188}, year = {2005}, }
TY - JOUR AU - Francesco Costantino TI - A short introduction to shadows of 4-manifolds JO - Fundamenta Mathematicae PY - 2005 VL - 188 IS - 1 SP - 271 EP - 291 AB - We give a self-contained introduction to the theory of shadows as a tool to study smooth 3-manifolds and 4-manifolds. The goal of the present paper is twofold: on the one hand, it is intended to be a shortcut to a basic use of the theory of shadows, on the other hand it gives a sketchy overview of some of the most recent results on shadows. No original result is proved here and most of the details of the proofs are left out. LA - eng KW - polyhedra; manifolds; shadow; spine UR - http://eudml.org/doc/282653 ER -