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环路空间,超对称与指标理论研讨会将于2017.7.17-7.21在南开大学陈省身数学研究所举行。
Chern Institute of Mathematics (CIM) was founded through the initiative of the late Professor Shiing-Shen Chern, who was also the first director of the Institute until 1992. The institute is located i...
Abstract: Let X be a closed connected contact manifold. On X there is a naturally arising class of hypoelliptic (but not elliptic) operators which are Fredholm. In this paper we solve the index proble...
Abstract: Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, we prove the local index formula for spectral triples over nonunital alg...
In this paper, the second of a series of two, we continue the study of higher index theory for expanders. We prove that if a sequence of graphs has girth tending to infinity, then the maximal coarse B...
In this paper, the first of a series of two, we continue the study of higher index theory for expanders. We prove that if a sequence of graphs is an expander and the girth of the graphs tends to infin...

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