Open (CP)^1 descendent theory I: The Stationary sector

Sunday, 1 March, 2020

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We define stationary descendent integrals on the moduli space of stable maps from disks to (\mathbb{CP}^1,\mathbb{RP}^1). We prove a localization formula for the stationary theory involving contributions from the fixed points and from all the corner-strata. We use the localization formula to prove a recursion relation and a closed formula for all disk cover invariants in the stationary case. For all higher genus invariants, we propose a conjectural formula.


Alexandr Buryak
Amitai Netser Zernik
Rahul Pandharipande
Ran J. Tessler