Topology And Field Theories: Center For Mathematics At Notre Dame, Summer School And Conference Topology And Field Theories May 29-june 8, 2012 ... Dame, Notre Dam (contemporary Mathematics)
by Stephan Stolz /
2014 / English / PDF
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This book is a collection of expository articles based on four
lecture series presented during the 2012 Notre Dame Summer School
in Topology and Field Theories. The four topics covered in this
volume are: Construction of a local conformal field theory
associated to a compact Lie group, a level and a Frobenius object
in the corresponding fusion category; Field theory interpretation
of certain polynomial invariants associated to knots and links;
Homotopy theoretic construction of far-reaching generalisations of
the topological field theories that Dijkgraf and Witten associated
to finite groups; and a discussion of the action of the orthogonal
group O(n) on the full subcategory of an n-category consisting of
the fully dualisable objects. The expository style of the articles
enables non-experts to understand the basic ideas of this wide
range of important topics.
This book is a collection of expository articles based on four
lecture series presented during the 2012 Notre Dame Summer School
in Topology and Field Theories. The four topics covered in this
volume are: Construction of a local conformal field theory
associated to a compact Lie group, a level and a Frobenius object
in the corresponding fusion category; Field theory interpretation
of certain polynomial invariants associated to knots and links;
Homotopy theoretic construction of far-reaching generalisations of
the topological field theories that Dijkgraf and Witten associated
to finite groups; and a discussion of the action of the orthogonal
group O(n) on the full subcategory of an n-category consisting of
the fully dualisable objects. The expository style of the articles
enables non-experts to understand the basic ideas of this wide
range of important topics.
