2022-05-20T19:29:25Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/696152018-04-25T23:44:10Zhdl_2115_45007hdl_2115_116Twisted homology and cohomology groups associated to the Wirtinger integralWatanabe, HumihikoWirtinger integraltheta functiontwisted homology grouptwisted cohomology groupde Rham cohomology410The first half of this paper deals with the structure of the twisted homology group ssociated to the Wirtinger integral. A basis of the first homology group is given, and the vanishing f the other homology groups is proved (Theorem 1). The second half deals with the structure of the wisted cohomology groups associated to the Wirtinger integral. The isomorphism between the twisted ohomology groups and the cohomology groups associated to a subcomplex of the de Rham complex is stablished, and a basis of the first cohomology group of this subcomplex (therefore, of the first twisted ohomology group) is given (Theorem 2).Departmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69615info:doi/10.14943/83957https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69615/1/pre807.pdfHokkaido University Preprint Series in Mathematics8071112006engpublisher