Result: \(q\)-difference de Rham complexes and Čech cohomology (thoughts on basic hypergeometric functions)
Title:
\(q\)-difference de Rham complexes and Čech cohomology (thoughts on basic hypergeometric functions)
Authors:
Subject Terms:
Jackson integrals, basic hypergeometric function, Čech cohomology, \(q\)-analogue of de Rham complex, Other basic hypergeometric functions and integrals in several variables, Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation), Basic hypergeometric integrals and functions defined by them
Document Type:
Academic journal
Article
File Description:
application/xml
Access URL:
Accession Number:
edsair.c2b0b933574d..30921d15f159e910a147f89385fe0553
Database:
OpenAIRE
Further Information
This paper is based on the author's address given at the annual meeting of the Mathematical Society of Japan on Sept 15, 1996. It gives a survey of the author's work on a new formulation of basic hypergeometric functions and Jackson integrals on higher-dimensional algebraic torus by introducing \(q\)-analogue of de Rham cohomology and on the understanding of such integrals by the dual paring of the cohomology and the homology of \(q\)-chains. Refer to the related article by the author in Prog. Math. 131, 1--12 (1995; Zbl 0845.33010).