Synthetic differential geometry of Chen's iterated integrals
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Nishimura, Hirokazu
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Mark
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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Abstract
Chen's iterated integrals are treated within synthetic di erential geometry. The main result is that iterated integrals produce a subcomplex of the de Rham complex on the free path space as well as based path spaces.
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Mathematics for Applications. 2014, 3, č. 2, s. 125-141. ISSN 1805-3629.
http://ma.fme.vutbr.cz/archiv/3_2/ma_3_2_nishimura.pdf
http://ma.fme.vutbr.cz/archiv/3_2/ma_3_2_nishimura.pdf
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Peer-reviewed
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en