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math.DG2004
Eta-invariants, Torsion forms and Flat vector bundles
Xiaonan Ma, weiping Zhang
We present a new proof, as well as a extension, of the Riemann-Roch-Grothendieck theorem of Bismut-Lott for flat vector bundles. The main techniques used are the comput…
math.DG1999
On Elliptic Genera and Foliations
Kefeng Liu, Xiaonan Ma, Weiping Zhang
We prove several vanishing theorems for a class of generalized elliptic genera on foliated manifolds, by using classical equivariant index theory. The main techniques are the use o…