blefloch
commented
8 years ago I'll add to the list as things come up.
- S^d: "Localizing gauge theories on Sd" by Minahan
- S^6: Minahan and Zabzine, Gauge Theories with 16 Supersymmetries on Spheres
- S^3 × R^2_θ : Bum-Hoon Lee, Daeho Ro, Hyun Seok Yang U(1) gauge theory
- S^1xM^3 holomorphic factorization http://arxiv.org/abs/1507.00261
- S^4: Pestun, Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops also Hama-Hosomichi, also http://arxiv.org/abs/1310.5939
- S^4 Higgs: http://arxiv.org/abs/1506.04390 but http://arxiv.org/abs/1508.07329 has "major points of disagreement".
- T^3 for N=1 theories Dimitrios Tsimpis, Yaodong Zhu
- arbitrary squashed S^3 http://arxiv.org/abs/1307.6848
- half S^2: http://arxiv.org/abs/1308.1973 and http://arxiv.org/abs/1308.2217 and http://arxiv.org/abs/1308.2438
More generic statements:
- http://arxiv.org/abs/1309.5876 The Geometry of Supersymmetric Partition Functions Cyril Closset, Thomas T. Dumitrescu, Guido Festuccia, Zohar Komargodski ; http://arxiv.org/abs/1209.5408 Exploring Curved Superspace (II) Thomas T. Dumitrescu, Guido Festuccia
- related to quite general 4d http://arxiv.org/abs/1308.1102
- several chapters of the review http://arxiv.org/abs/1412.7145 edited by Teschner
List results.