nLab Damien Calaque

• webpage

Selected writings

On tensor categories:

• Damien Calaque, Pavel Etingof, Lectures on tensor categories, IRMA Lectures in Mathematics and Theoretical Physics 12, 1-38 (2008) (arXiv:math/0401246)

On the Duflo isomorphism:

• Damien Calaque, Carlo A. Rossi, Lectures on Duflo isomorphisms in Lie algebra and complex geometry, European Math. Soc. (2011) [doi:10.4171/096, pdf]

On mapping stacks and TFT:

• Damien Calaque, Lagrangian structures on mapping stacks and semi-classical TFTs, 2013, arXiv:1306.3235.

On derived symplectic geometry (shifted symplectic structures):

• Damien Calaque, Three lectures on derived symplectic geometry and topological field theories, 2014,

  pdf - see also these notes

• Damien Calaque, Tony Pantev, Bertrand Toen, Michel Vaquie, Gabriele Vezzosi, Shifted Poisson structures and deformation quantization, Journal of topology 10.2 (2017) 483–584 arXiv:1506.03699

On preprojective algebras

• Tristan Bozec, Damien Calaque, Sarah Scherotzke, Calabi-Yau structures for multiplicative preprojective algebras, J. Noncommut. Geom. 17(3) (2023) 783–810 arXiv:2102.12336

Review of shifted symplectic structures:

• Damien Calaque, Derived symplectic geometry, Encyclopedia of Mathematical Physics 2nd ed [arXiv:2308.04210]

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