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Characteristic classes and intersection homology


The research project is on the characteristic classes and intersection homology theory. The first subject to be investigated concerns Milnor classes. It is curious that, at the moment, there are few (or none) examples and applications of them. Another point on Milnor classes, is that the Prof. Brasselet gave a conjecture formula for duality of these classes in terms of polar varieties. Now, it is expected to explicit the proof of this conjecture. Another part of this project is to provide a geometric representation of cicles permited in intersection homology theory. (AU)

Scientific publications (4)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
BRASSELET, JEAN-PAUL; SUWA, TATSUO. Local and global coincidence homology classes. Journal of Fixed Point Theory and Applications, v. 23, n. 2 MAY 2021. Web of Science Citations: 0.
BRASSELET, JEAN-PAUL; MIWA LIBARDI, ALICE KIMIE; RIZZIOLLI, ELIRIS CRISTINA; SAIA, MARCELO JOSE. Cobordism of maps of locally orientable Witt spaces. PUBLICATIONES MATHEMATICAE-DEBRECEN, v. 94, n. 3-4, p. 299-317, 2019. Web of Science Citations: 0.
BRASSELET, JEAN-PAUL; CORREA, MAURICIO; LOURENCO, FERNANDO. Residues for flags of holomorphic foliations. ADVANCES IN MATHEMATICS, v. 320, p. 1158-1184, NOV 7 2017. Web of Science Citations: 1.
BRASSELET, JEAN-PAUL; CHACHAPOYAS, NANCY; RUAS, MARIA A. S. Generic sections of essentially isolated determinantal singularities. INTERNATIONAL JOURNAL OF MATHEMATICS, v. 28, n. 11 OCT 2017. Web of Science Citations: 3.

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