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Blackbox computation of A∞-algebras
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Mikael Vejdemo-Johansson
Published/Copyright:
June 22, 2010
Abstract
Kadeishvili's proof of theminimality theorem [T. Kadeishvili, On the homology theory of fiber spaces, Russ. Math. Surv.35:3 (1980), 231–238] induces an algorithm for the inductive computation of an A∞-algebra structure on the homology of a dg-algebra.
In this paper, we prove that for one class of dg-algebras, the resulting computation will generate a complete A∞-algebra structure after a finite amount of computational work.
Received: 2008-10-24
Published Online: 2010-06-22
Published in Print: 2010-June
© de Gruyter 2010
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Articles in the same Issue
- The optimal forecasting for the multinomial scheme with disorder
- On equivariant disconnected rational homotopy theory
- Distortion of the Grötzsch–Belinskii type for generalized quasiconformal mappings
- Approximation by Bézier variant of the Szász–Kantorovich operators in case α < 1
- On a class of bases of the space of cusp forms of level 8
- Coincidence and fixed points for hybrid tangential maps
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- Complete anti-analytic continuation of analytic functions
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- A boundary value problem on the whole line to second order nonlinear differential equations
- Blackbox computation of A∞-algebras
- The existence and boundedness of square functions on generalized Orlicz–Campanato spaces
