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Transferring infinity-algebra structures

Published on:

21 December 2023

Primary Category:

K-Theory and Homology

Paper Authors:

Janina C. Letz


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

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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