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The η-form and a generalized Maslov index |
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| Authors: | U Bunke H Koch |
| Institution: | Mathematisches Institut,
Universit?t G?ttingen, Bunsenstr. 3-5, D-37073 G?ttingen, Germany. e-mail: bunke@cfgauss.uni-math.gwdg.de, DE Institut für Angewandte Mathematik, Universit?t Heidelberg, Im Neuenheimer Feld 294, D-69120 Heidelberg. Germany. e-mail: koch@iwr.uni-heidelberg.de, DE |
| Abstract: | Given a family of pairs of transverse Lagrangian subspaces of a hermitean symplectic vector space we define a family of Dirac operators on the unit interval and consider its η-form . To a family of pairwise transverse Lagrangian subspaces we associate the cocycle which is a closed form. We identify its cohomology class with a generalization to families of the triple Maslov index. Received: 6 March 1997 |
| Keywords: | Mathematics Subject Classification (1991): 58G10 58G20 |
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