A gluing formula for families Seiberg–Witten invariants

@article{Baraglia2018AGF,
  title={A gluing formula for families Seiberg–Witten
invariants},
  author={David Baraglia and Hokuto Konno},
  journal={arXiv: Differential Geometry},
  year={2018}
}
We prove a gluing formula for the families Seiberg-Witten invariants of families of $4$-manifolds obtained by fibrewise connected sum. Our formula expresses the families Seiberg-Witten invariants of such a connected sum family in terms of the ordinary Seiberg-Witten invariants of one of the summands, under certain assumptions on the families. We construct some variants of the families Seiberg-Witten invariants and prove the gluing formula also for these variants. One variant incorporates a… 

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