2 citations · 5 across the 9 of their papers we have counts for
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Adiabatic Limits and Foliations
Kefeng Liu, Weiping Zhang
We use adiabatic limits to study foliated manifolds. The Bott connection naturally shows up as the adiabatic limit of Levi-Civita connections. As an application, we then construct…
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…
Real embeddings and the Atiyah-Patodi-Singer index theorem for Dirac operators
Xianzhe Dai, Weiping Zhang
We present the details of our embedding proof of the Atiyah-Patodi-Singer index theorem for Dirac operators on manifolds with boundary.
Sympletic Reduction and a Weighted Multiplicity Formula for Twisted Spin^c-Dirac Operations
Youliang Tian, Weiping Zhang
We extend our earlier work in [TZ1], where an analytic approach to the Guillemin-Sternberg conjecture [GS] was developed, to cases where the Spin^c-complex under consideration is a…