• Corpus ID: 240354772

The geometric cobordism hypothesis

@inproceedings{Grady2021TheGC,
  title={The geometric cobordism hypothesis},
  author={Daniel Grady and Dmitri Pavlov},
  year={2021}
}
We prove a generalization of the cobordism hypothesis of Baez–Dolan and Hopkins–Lurie for bordisms with arbitrary geometric structures, such as Riemannian or Lorentzian metrics, complex and symplectic structures, smooth maps to a fixed target manifold, principal bundles with connections, or geometric string structures. Our methods rely on the locality property for fully extended functorial field theories established in arXiv:2011.01208, reducing the problem to the special case of geometrically… 
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