李逸: Hirzebruch \chi_{y}-genus and supersymmetric quantum mechanics

2006-04-04 来源:数学科学研究中心

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主讲人:李逸

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   Abstract:  The formula for the Hirzebruch \chi_{y}-genus of complex manifolds is a consequence of the H-rzebruch-Riemann-Roch formula, the classical index formula for Todd genus, euler number and Signature cprrespond to the case when y=9,-1,1, respectively. We use the SUSY quantum mechanics to directly derive this formula on Kahler manifolds.