Non-commutative Extensions of Two-dimensional Topological Field Theories and Hurwitz Numbers for Real Algebraic Curves
نویسندگان
چکیده
Contents 1. Introduction 1 2. Structure algebra 4 2.1. Definition of a structure algebra 4 2.2. Semisimple structure algebras 7 2.3. Structure algebra of a finite group 11 3. Cuts of stratified surfaces 15 3.1. Stratified surfaces 15 3.2. Cut systems 17 3.3. Basic and simple surfaces 21 3.4. Neighboring complete cut systems 25 4. Two-dimensional topological field theory 29 4.1. Definition of Klein topological field theory 29 4.2. Correlators of Klein topological field theory 33 4.3. From system of correlators to structure algebras 38 4.4. From structure algebra to Klein topological field theory 41 5. Hurwitz topological field theory 46 5.
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