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## Open \$\CP^1\$ descendent theory I: The stationary sector

Buryak A., Netser Zernik A., Pandharipande R., Tessler R. J.
We define stationary descendent integrals on the moduli space of stable maps from disks to \$(\CP^1,\rr\pp^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 genus \$0\$ disk cover invariants in the stationary case. For all higher genus invariants, we propose a conjectural formula.