2 citations · 3 across the 2 of their papers we have counts for
4 papers
General Rearrangement Lemma for Heat Trace Asymptotic on Noncommutative Tori
Yang Liu
We study a technical problem arising from the spectral geometry of noncommutative tori: the small time heat trace asymptotic associated to a general second order elliptic operator.…
The multiplier and cohomology of Lie superalgebras
Yang Liu, Wende Liu
In this paper, all (super)algebras are over a field of characteristic different from . We construct the so-called 5-sequences of cohomology for central extension…
Hypergeometric function and Modular Curvature I. --Hypergeometric functions in Heat Coefficients
Yang Liu
We give a new proof of the rearrangement lemma that works for all dimensions and all heat coefficients in the study of modular geometry on noncommutative tori. The building blocks…
Hypergeometric function and modular curvature
Yang Liu
We first show that hypergeometric functions appear naturally as spectral functions when applying pseudo-differential calculus to decipher heat kernel asymptotic in the situation wh…