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On the construction of 𝐴∞-structures
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Johannes Huebschmann
Published/Copyright:
March 19, 2010
Abstract
We relate a construction of Kadeishvili's establishing an 𝐴∞-structure on the homology of a differential graded algebra or, more generally, of an 𝐴∞-algebra with certain constructions of Chen and Gugenheim. Thereafter we establish the links of these constructions with subsequent developments.
Keywords.: Higher homotopies; twisting cochain; iterated integral; homological perturbation theory; minimality theorem
Received: 2008-10-28
Published Online: 2010-03-19
Published in Print: 2010-March
© de Gruyter 2010
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- A finite dimensional 𝐴∞ algebra example
- Cartan's constructions and the twisted Eilenberg–Zilber theorem
- Higher order track categories and the algebra of higher order cohomology operations
- A case study of 𝐴∞-structure
- Props in model categories and homotopy invariance of structures
- On the construction of 𝐴∞-structures
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Keywords for this article
Higher homotopies;
twisting cochain;
iterated integral;
homological perturbation theory;
minimality theorem
Articles in the same Issue
- A finite dimensional 𝐴∞ algebra example
- Cartan's constructions and the twisted Eilenberg–Zilber theorem
- Higher order track categories and the algebra of higher order cohomology operations
- A case study of 𝐴∞-structure
- Props in model categories and homotopy invariance of structures
- On the construction of 𝐴∞-structures
- A twisted tale of cochains and connections
