In mathematics, the Gauss–Manin connection is a connection on a certain vector bundle over a base space S of a family of algebraic varieties V s {\displaystyle V_{s}} . The fibers of the vector bundle are the de Rham cohomology groups H d R k ( V s ) {\displaystyle H_{\mathrm {dR} }^{k}(V_{s})} of the fibers V s {\displaystyle V_{s}} of the family.
In mathematics, the Gauss–Manin connection is a connection on a certain vector bundle over a base space S of a family of algebraic varieties V s {\displaystyle V_{s}} . The fibers of the vector bundle are the de Rham cohomology groups H d R k ( V s ) {\displaystyle H_{\mathrm {dR} }^{k}(V_{s})} of the fibers V s {\displaystyle V_{s}} of the family.
Source: Wikipedia "Gauss–Manin connection" · CC BY-SA 4.0
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