arXiv Open Access 2006

Integrating L-infinity algebras

Andre Henriques

Lihat Sumber

Abstrak

Given an n-term L-infinity algebra L, we construct a Kan simplicial manifold which we think of as the 'Lie n-group' integrating L. This extends work of Getzler math.AT/0404003 . In the case of an ordinary Lie algebra, our construction gives the simplicial classifying space of the corresponding simply connect Lie group. In the case of the string Lie 2-algebra of Baez and Crans, this recovers the model of the string group introduced in math.QA/0504123 .

Topik & Kata Kunci

math.AT math.DG

Penulis (1)

Andre Henriques

Format Sitasi

APA MLA BibTeX

Henriques, A. (2006). Integrating L-infinity algebras. https://arxiv.org/abs/math/0603563

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2006
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓