English

Atiyah classes with values in the truncated cotangent complex

Algebraic Geometry 2013-12-17 v2

Abstract

We prove an explicit formula for the truncated Atiyah class of a bounded complex of vector bundles. Furthermore, we show that the first truncated Chern class of such a complex only depends on its determinant.

Cite

@article{arxiv.1110.6930,
  title  = {Atiyah classes with values in the truncated cotangent complex},
  author = {Fabian Langholf},
  journal= {arXiv preprint arXiv:1110.6930},
  year   = {2013}
}
R2 v1 2026-06-21T19:28:41.362Z