### Spectral sequence of universal distribution, by Yi Ouyang

In this paper, we prove an abstract index formula about Sinnott's symbol
between two different lattices. We also develop the theory of the
universal distribution and predistribution in a double complex point of
view. The theory of spectral sequence is used to interpret the index
formula and to analyze the cohomology of the universal distribution.
Combing these results, we successfully prove Sinnott's index formula
about the Stickelberger ideal. In addition, the $\{\pm 1\}$-cohomology
groups of the universal distribution and the universal predistribution
are obtained.

Yi Ouyang <youyang@math.umn.edu>