Quantizing deformation theory

  • John Terilla


We describe a step toward quantizing deformation theory. The L operad is encoded in a Hochschild cocyle o1 in a simple universal algebra (P, o0). This Hochschild cocyle can be extended naturally to a star product ‚=o0+ħo12o2 +…. The algebraic structure encoded in * is the properad Ω(coFrob) which, conjecturally, controls a quantization of deformation theory—a theory for which Frobenius algebras replace ordinary commutative parameter rings.


Complex Manifold Associative Algebra Deformation Theory String Topology Parameter Ring 
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© Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH 2010

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  • John Terilla

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