Kawasaki's Riemann–Roch formula

Edit links
From Wikipedia, the free encyclopedia

This is an old revision of this page, as edited by TakuyaMurata (talk | contribs) at 22:58, 5 November 2019 (see also: Riemann–Roch-type theorem). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

In differential geometry, Kawasaki's Riemann–Roch formula, introduced by Tetsuro Kawasaki, is the Riemann–Roch formula for orbifolds. It can compute the Euler characteristic of an orbifold.

Kawasaki's original proof made a use of the equivariant index theorem. Today, the formula is known to follow from the Riemann–Roch formula for quotient stacks.

References

  • Tetsuro Kawasaki. The Riemann-Roch theorem for complex V-manifolds. Osaka J. Math., 16(1):151–159, 1979

See also

Stub icon

This differential geometry-related article is a stub. You can help Wikipedia by expanding it.

Retrieved from "https://en.wikipedia.org/w/index.php?title=Kawasaki%27s_Riemann–Roch_formula&oldid=924786312"