一般联络的热迹渐近性和Gauss-Bonnet定理
Heat trace asymptotics and the Gauss-Bonnet Theorem for general connections
摘要:
研究了由外代数上任意超联络定义的de Rham复形的局部超迹渐近性。我们表明,在相反的情况下,其中的连接问题是列维-奇维塔连接,这些不变量是一般的非零的积极程度和关键的长期是不是Pfavian。
英文摘要:
We examine the local super trace asymptotics for the de Rham complex defined by an arbitrary super connection on the exterior algebra. We show, in contrast to the situation in which the connection in question is the Levi-Civita connection, that these invariants are generically non-zero in positive degree and that the critical term is not the Pfaffian.
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