Dihedral cohomology

General Introduction
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Search results
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Online References
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Paper References
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
[arXiv:1209.1261] Involutive Ainfinity algebras and dihedral cohomology from arXiv Front: math.KT by Christopher Braun Notions of homotopy involutive associative algebras and homotopy cyclic involutive associative algebras, which will be called involutive Ainfinity algebras and cyclic involutive Ainfinity algebras, are defined and studied in some detail and the cohomology theories associated to such structures are identified and related to dihedral cohomology. The deformation theory associated to these algebras is also examined. Generalisations to involutive algebras over arbitrary Koszul operads are briefly considered.
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