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A Degeneracy Criterion for A∞-Structures
V. A. Smirnov Moscow State Pedagogical University
Abstract:
In the paper conditions are found under which the A∞-structure on the homology of a differential algebra degenerates. Examples of such algebras are given. In particular, it is shown that the A∞-algebra structure on the Milnor coalgebra degenerates, and that if the cohomology of a topological space is a polynomial algebra, then the A∞-algebra structure on it degenerates.
Received: 11.04.2000
Citation:
V. A. Smirnov, “A Degeneracy Criterion for A∞-Structures”, Mat. Zametki, 69:6 (2001), 906–911; Math. Notes, 69:6 (2001), 827–832
Linking options:
https://www.mathnet.ru/eng/mzm704https://doi.org/10.4213/mzm704 https://www.mathnet.ru/eng/mzm/v69/i6/p906
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Abstract page: | 298 | Full-text PDF : | 184 | References: | 50 | First page: | 1 |
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