Itsy bitsy topological field theory
Symplectic Geometry
2018-04-10 v2 Mathematical Physics
Geometric Topology
math.MP
Abstract
We construct an elementary, combinatorial kind of topological quantum field theory, 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--Matic. 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".
Keywords
Cite
@article{arxiv.1201.4584,
title = {Itsy bitsy topological field theory},
author = {Daniel V. Mathews},
journal= {arXiv preprint arXiv:1201.4584},
year = {2018}
}
Comments
54 pages, 35 figures. Minor edits, extra figures added