Residues of Chern-Maslov classes

IZAWA, Takeshi; NAKAJIMA, Katsunori

J. Math. Soc. Japan, Tome 57 (2005) no. 4, p. 21-36 / Harvested from Project Euclid

Résumé

We describe a localization theory for Maslov classes associated with two Lagrangian subbundles in a real symplectic vector bundle and give a definition of the residue of the Maslov classes. We also compute explicitly the residue of the first Maslov class in the case that the non-transversal set of the two Lagrangian subbundles have codimension 1.

Publié le : 2005-01-14
Classification: Maslov class, Maslov index, characteristic class, residue class, secondary class, Čech-de Rham cohomology, Chern-Weil theory, 53D12, 57R20

@article{1160745811,
     author = {IZAWA, Takeshi and NAKAJIMA, Katsunori},
     title = {Residues of Chern-Maslov classes},
     journal = {J. Math. Soc. Japan},
     volume = {57},
     number = {4},
     year = {2005},
     pages = { 21-36},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1160745811}
}

IZAWA, Takeshi; NAKAJIMA, Katsunori. Residues of Chern-Maslov classes. J. Math. Soc. Japan, Tome 57 (2005) no. 4, pp.  21-36. http://gdmltest.u-ga.fr/item/1160745811/