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HodgeIntegrals :: kappa

kappa -- Miller-Morita-Mumford classes

Synopsis

Description

This is an element in the ring created by hodgeRing. It is the Miller-Morita-Mumford class discussed in [AC].

Here is a simple example which calculates M1,1 k1.

i1 : R = hodgeRing (1, 1);
i2 : kappa_1

o2 = kappa
          1

o2 : R
i3 : integral(1, 1, kappa_1)
warning: clearing value of symbol tempCh to allow access to subscripted variables based on it
       : debug with expression   debug 1257   or with command line option   --debug 1257

      1
o3 = --
     24

o3 : R

References

[AC] Arbarello, E. and Cornalba, M. Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves. J. Algebraic Geom. 5. (1996), no. 4, 705--749.

See also

For the programmer

The object kappa is an indexed variable table.