Gopakumar-Vafa Hierarchies in Winding Inflation and Uplifts
  We propose a combined mechanism to realize both winding inflation and de
Sitter uplifts. We realize the necessary structure of competing terms in the
scalar potential not via tuning the vacuum expectation values of the complex
structure moduli, but by a hierarchy of the Gopakumar-Vafa invariants of the
underlying Calabi-Yau threefold. To show that Calabi-Yau threefolds with the
prescribed hierarchy actually exist, we explicitly create a database of all the
genus $0$ Gopakumar-Vafa invariants up to total degree $10$ for all the
complete intersection Calabi-Yau's up to Picard number $9$. As a side product,
we also identify all the redundancies present in the CICY list, up to Picard
number $13$. Both databases can be accessed at this link:
https://www.desy.de/~westphal/GV_CICY_webpage/GVInvariants.html .
