Itsy bitsy topological field theory

Details Itsy bitsy topological field theory Itsy bitsy topological field theory

2012-01-22

arxiv.org/abs/1201.4584v1

Mathematics

Symplectic Geometry

52 pages, 28 figures

Scientific paper

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".

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