Resonance Category

Details Resonance Category Resonance Category

2001-11-18

arxiv.org/abs/math/0111196v3

Commentarii Mathematici Helvetici, 80 (2005), no. 1, 197--223.

Mathematics

Category Theory

22 pages, 1 figure. This is the final journal version. The paper appears in Commentarii Mathematici Helvetici

Scientific paper

The main purpose of this paper is to introduce a new category, which we call a resonance category, whose combinatorics reflect that of canonical stratifications of $n$-fold symmetric smash products. The study of the stratifications can then be abstracted to the study of functors satisfying certain sets of axioms, which we name resonance functors. One frequently studied stratification is that of the set of all polynomials of degree $n$, defined by fixing the allowed multiplicities of roots. We apply our abstract combinatorial framework, in particular, the notion of direct product of relative resonances, to study the Arnold problem of computing the algebro-topological invariants of these strata.

Affiliated with

Also associated with

No associations

Rating

Resonance Category 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 Resonance Category, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resonance Category will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-231216