Corpus ID: 119325051

4-manifolds and topological modular forms

@article{Gukov20184manifoldsAT,
  title={4-manifolds and topological modular forms},
  author={S. Gukov and Du Pei and P. Putrov and C. Vafa},
  journal={arXiv: High Energy Physics - Theory},
  year={2018}
}
We build a connection between topology of smooth 4-manifolds and the theory of topological modular forms by considering topologically twisted compactification of 6d (1,0) theories on 4-manifolds with flavor symmetry backgrounds. The effective 2d theory has (0,1) supersymmetry and, possibly, a residual flavor symmetry. The equivariant topological Witten genus of this 2d theory then produces a new invariant of the 4-manifold equipped with a principle bundle, valued in the ring of equivariant… Expand

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Six-dimensional gauge theories and (twisted) generalized cohomology
Trialities of minimally supersymmetric 2d gauge theories
Topological Mathieu Moonshine.
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