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Localized Index and $L^2$-Lefschetz fixed point formula for orbifolds by Wang, Bai-Ling; Wang, Hang is a scholarly article available to read on EtoBox.

What is Localized Index and $L^2$-Lefschetz fixed point formula for orbifolds about?

We study a class of localized indices for the Dirac type operators on a complete Riemannian orbifold, where a discrete group acts properly, co-compactly and isometrically. These localized indices, generalizing the $L^2$-index of Atiyah, are obtained by taking certain traces of the higher index for the Dirac type operators along conjugacy classes of the discrete group. Applying the local index technique, we also obtain an $L^2$-version of the Lefschetz fixed point formula for orbifolds. These cohomological formulae for the localized indices give rise to a class of refined topological invariants for the quotient orbifold.

Author

Wang, Bai-Ling; Wang, Hang

Published

2013

Language

EN