Integrating Lie algebroids via stacks

By Hsian-Hua Tseng, Chenchang Zhu. Compositio Mathematica, 2004

67 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8cbc50a044fcde4ac30f9c7203dbcaded5eadc73

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. A. Henriques
2. M. Kapranov
3. Chenchang Zhu
4. Ieke Moerdijk
5. J. Mrčun
6. A. Libgober

In Mathematical Physics

1. A. Henriques
2. M. Kapranov
3. Chenchang Zhu
4. V. Lunts
5. Michael Larsen
6. Ieke Moerdijk
7. J. Mrčun

Citations in the corpus

• Integrating $L_\infty $-algebras (2006, methodology): “In that same context, a variant of τ 2 ∫ L has been studied by Tseng and Zhu [TZ06] using the formalism of (weak) groupoid objects in the category of smooth étale stacks.”
• n-Groupoids and Stacky Groupoids (2008, background): “This definition of W-groupoid is different from the one in [36]: here we add various higher coherences on 2-morphisms which make the definition stricter but still allow the W-groupoids G(A) and H(A), which are the integration objects of the Lie algebroid A constructed in [36].”
• Free Lie algebroids and the space of paths (2007, background): “Because integration to a Lie groupoid, even locally, is not always possible (see [Mack], [CF], [ TZ ]), we discuss formal integration systematically.”