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math.AG2000
A Survey of Mirror Principle
Bong H. Lian, Kefeng Liu, Shing-Tung Yau
This note briefly reviews the {\it Mirror Principle} as developed in the series of papers \LLYI\LLYII\LLYIII\LLYIV\LCHY. We illustrate this theory with a few new examples. One of t…
math.AG2000
Mirror Principle IV
Bong H. Lian, Kefeng Liu, Shing-Tung Yau
This is a continuation of "Mirror Principle III"(math.AG/9912038).
math.KT2000
Rigidity and Vanishing Theorems in K-Theory II
Kefeng Liu, Xiaonan Ma, Weiping Zhang
We extend our family rigidity and vanishing theorems in [{\bf LiuMaZ}] to the Spin^c case. In particular, we prove a K-theory version of the main results of [{\bf H}], [{\bf Liu1},…