Corpus ID: 236493588

Surgery in dimension 1+1 and Hurwitz numbers

@inproceedings{Burman2021SurgeryID,
  title={Surgery in dimension 1+1 and Hurwitz numbers},
  author={Yurii Burman and R. Fesler},
  year={2021}
}
Surgery in dimension 1+1 describes how to obtain a surface with boundary (compact, not necessarily oriented) from a collection of disks by joining them with narrow ribbons attached to the boundary. Counting the ways to do it gives rise to a “twisted” version of the classical Hurwitz numbers and of the cut-and-join equation. 

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By Corollary 3.9 twisted Schur polynomials s λ , λ ∈ Λ n , form a basis in C
    The mapping ξ : Λ → Z (where Λ is the set of partitions) is strictly monotonic
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