TY - BOOK AU - Stolz,Stephan ED - Summer School and Conference on Topology and Field Theories ED - Center for Mathematics at Notre Dame. TI - Toplogy and field theories T2 - Contemporary mathematics SN - 9781470410155 (pbk. : acidfree paper) U1 - 510 23 PY - 2014/// CY - Providence : PB - American Mathematical Society KW - Algebraic topology KW - Congresses KW - Quantum field theory N1 - Includes bibliographical references; Three-tier CFTs from Frobenius algebras /AndrĂ¢e Henriques -- Lectures on knot homology and quantum curves /Sergei Gukov and Ingmar Saberi -- Ambidexterity /Gijs Heuts and Jacob Lurie -- Dualizability in low-dimensional higher category theory /Christopher J. Schommer-Pries N2 - 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 ER -