Invitation to Topological Conformal Field Theories
Amitai Netser Zernik
TL;DR
This paper introduces topological conformal field theories, constructed using fundamental principles from quasiconformal mappings, offering a new perspective on the mathematical foundations of these theories.
Contribution
It provides a novel definition of topological conformal field theories based solely on quasiconformal mapping theory, simplifying and unifying their mathematical framework.
Findings
New definition based on quasiconformal mappings
Simplifies the mathematical foundation of topological conformal field theories
Establishes connections with complex analysis and geometry
Abstract
Topological conformal field theories are defined using only basic results from the theory of quasiconformal mappings.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Black Holes and Theoretical Physics · Geometric Analysis and Curvature Flows