34 citations · 168 across the 38 of their papers we have counts for
5 papers · 2 filters
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…
On Family Rigidity Theorems II
Kefeng LIU, Xiaonan MA
In LM, we proved a family version of the famous Witten rigidity theorems and several family vanishing theorems for elliptic genera. In this paper, we gerenalize our theorems LM in…
Heat kernels, symplectic geometry, moduli spaces and finite groups
Kefeng Liu
In this note we apply heat kernels to derive some localization formula in sympletcic geometry, to study moduli spaces of flat connections on a Riemann surface, to obtain the push-f…
On Family Rigidity Theorems I
Kefeng LIU, Xiaonan MA
In this paper, we first prove a local family version of the Atiyah-Bott-Segal-Singer Lefschetz fixed point formula, then we extend the famous Witten's rigidity Theorems to the fami…