Twisted cohomology and homology groups associated to the Riemann-Wirtinger integral. (English) Zbl 1290.14030
The authors construct bases of non vanishing cohomology and homology groups, provide an interpretation as pairing of a cohomology class and a homology class to the Riemann-Wirtinger integral, and lastly describe the Gauss-Manin connection on the cohomology groups.
Reviewer: Richard A. Mollin (Calgary)
MSC:
| 14K25 | Theta functions and abelian varieties |
| 33C05 | Classical hypergeometric functions, \({}_2F_1\) |
| 55N25 | Homology with local coefficients, equivariant cohomology |
| 14F40 | de Rham cohomology and algebraic geometry |
| 32C35 | Analytic sheaves and cohomology groups |
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