**Vasily Pestun**, *IHES*

**Localization in gauge theory**

1. Equivariant cohomology. Atiyah-Bott localization formula theorem.

2. Supersymmetric, cohomological and topological field theories.

3. Gauge theory partition function on a sphere.

References:

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counting,” Adv.Theor.Math.Phys. 7

(2004) 831–864, arXiv:hep-th/0206161 [hep-th]. To Arkady Vainshtein on

his 60th anniversary.

[27] V. Pestun, “Localization of gauge theory on a four-sphere and

supersymmetric Wilson loops,” Commun.Math.Phys. 313 (2012) 71–129, arXiv:0712.2824 [hep-th].