A Geometric Interpretation of the χ-{y} Genus on Hyper-Kahler Manifolds

Details A Geometric Interpretation of the χ-{y} Genus on Hyper-Kahler Manifolds A Geometric Interpretation of the χ-{y} Genus on Hyper-Kahler Manifolds

1999-05-18

arxiv.org/abs/math/9905102v1

Mathematics

Algebraic Geometry

Scientific paper

10.1007/s002200000230

The group SL(2) acts on the space of cohomology groups of any hyper-Kahler
manifold X. The \chi_{y} genus of a hyper-Kahler X is shown to have a geometric
interpretation as the super trace of an element of SL(2). As a by product one
learns that the generalized Casson invariant for a mapping torus is essentially
the \chi_{y} genus.

Affiliated with

Also associated with

No associations

Rating

A Geometric Interpretation of the χ-{y} Genus on Hyper-Kahler Manifolds 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 A Geometric Interpretation of the χ-{y} Genus on Hyper-Kahler Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Geometric Interpretation of the χ-{y} Genus on Hyper-Kahler Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-18624