Annales Henri Poincaré

, Volume 15, Issue 9, pp 1801–1865

Itsy Bitsy Topological Field Theory

Article

DOI: 10.1007/s00023-013-0286-0

Cite this article as:
Mathews, D.V. Ann. Henri Poincaré (2014) 15: 1801. doi:10.1007/s00023-013-0286-0

Abstract

We construct an elementary, combinatorial kind of topological quantum field theory (TQFT), based on curves, surfaces, and orientations. The construction derives from contact invariants in sutured Floer homology and is essentially an elaboration of a TQFT defined by Honda–Kazez–Matić. This topological field theory stores information in binary format on a surface and has “digital” creation and annihilation operators, giving a toy-model embodiment of “it from bit”.

Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.School of Mathematical SciencesMonash UniversityVictoriaAustralia