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Two Applications of the Homotopy Transfer Theorem for Infinity-Algebras

Description:

In the first part of the thesis we,given a dg-Lie algebra $\g$, a commutative dg-algebra $A$ and a twisting cochain $\mu$ in $A \otimes \g$, we construct a map from the functor of curved deformations of $\g$ to the functor of curved deformations of the twisted tensor product $A \otimes_\mu...

Keyword:

L-infinity algebras, Lie coalgebra, A-infinity algebras, Period map, Quantization, and Deformation theory

Subject:

Mathematics

Creator:

Papayanov, Grigory

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

05/31/2023

Date Created:

2023-01-01

Resource Type:

Dissertation

Alternate Identifier:

etdadmin_upload_985714 and http://dissertations.umi.com/northwestern:16566