nLab curved A-infinity algebra

Redirected from "smooth variety".
Contents

Contents

Idea

A curved A A_\infty is defined just like an A-infinity algebra, but allowing in the definition also a 0-ary operation. m 0m_0. Including this means thte unary operation no longer squares to 0 but to be proportinal to the binary product with this constant

m 1m 1m 2(m 0,). m_1 \circ m_1 \propto m_2(m_0,-) \,.

This m 0m_0 is called the curvature of the curved A A_\infty-algebra.

Examples

References

Created on February 17, 2017 at 12:24:38. See the history of this page for a list of all contributions to it.