Quantizing deformation theory.

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Title:	Quantizing deformation theory.
Authors:	Terilla, John
Source:	Deformation Spaces; 2010, p135-141, 7p
Abstract:	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+ħo1+ħ²o2 +…. The algebraic structure encoded in * is the properad Ώ(coFrob) which, conjecturally, controls a quantization of deformation theory–a theory for which Frobenius algebras replace ordinary commutative parameter rings. [ABSTRACT FROM AUTHOR]
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DOI:	10.1007/978-3-8348-9680-3_6
Database:	Complementary Index

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