On the Euler characteristic of Kronecker moduli spaces

Details On the Euler characteristic of Kronecker moduli spaces On the Euler characteristic of Kronecker moduli spaces

2012-03-13

arxiv.org/abs/1203.2740v1

Mathematics

Representation Theory

15 pages

Scientific paper

Combining the MPS degeneration formula for the Poincar\'e polynomial of moduli spaces of stable quiver representations and localization theory, it turns that the determination of the Euler characteristic of these moduli spaces reduces to a combinatorial problem of counting certain trees. We use this fact in order to obtain an upper bound for the Euler characteristic in the case of the Kronecker quiver. We also derive a formula for the Euler characteristic of some of the moduli spaces appearing in the MPS degeneration formula.

Affiliated with

Also associated with

No associations

Rating

On the Euler characteristic of Kronecker moduli spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Euler characteristic of Kronecker moduli spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Euler characteristic of Kronecker moduli spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-143779