English

Higher Euler characteristics

K-Theory and Homology 2015-09-18 v1 Algebraic Geometry

Abstract

We provide a natural interpretation of the secondary Euler characteristic and introduce higher Euler characteristics. For a compact oriented manifold of odd dimension, the secondary Euler characteristic recovers the Kervaire semi-characteristic. We prove basic properties of the higher invariants and illustrate their use. We also introduce motivic variants.

Keywords

Cite

@article{arxiv.1509.05089,
  title  = {Higher Euler characteristics},
  author = {Niranjan Ramachandran},
  journal= {arXiv preprint arXiv:1509.05089},
  year   = {2015}
}

Comments

14 pages

R2 v1 2026-06-22T10:58:29.389Z