Transferring infinity-algebra structures
Published on:
21 December 2023
Primary Category:
K-Theory and Homology
Paper Authors:
Janina C. Letz
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Key Details
Proves transfer of A-infinity structures over commutative rings
Generalizes prior results requiring fields or surjectivity
Provides explicit formulas for lifting A-infinity structures
Shows uniqueness of transferred A-infinity structures
Gives analogous results for transferring A-infinity modules
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AI generated summary
Transferring infinity-algebra structures
This paper proves that A-infinity algebra structures can be transferred or lifted along quasi-isomorphisms over commutative rings. This generalizes previous transfer results that required working over a field or focused on surjective quasi-isomorphisms.
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