CORDIS Project
Funding breakdown and partner intelligence are Premium
Sign in and upgrade to Premium for EU contribution totals, consortium analytics, OpenAlex research context, and AI summaries. · 0 consortium intelligence fields visible of 1
Start free • Cancel anytime • 14-day refund guarantee
This project aims to develop a comprehensive theory connecting refined invariants in low-dimensional topology and algebraic geometry. It focuses on solving conjectures related to knot invariants, character varieties, and mixed Hodge polynomials using advanced mathematical methods and combinatorial techniques.
Some invariants appearing in low-dimensional topology and algebraic geometry admit a so-called refinement: a much stronger, but more complicated invariant.
For instance, in low-dimensional topology we study the Poincare polynomial of the triply-graded Khovanov-Rozansky homology of a knot, which is a refined version of the HOMFLY-PT polynomial.
The usual Poincare polynomial and the E-polynomial of a character variety are refined by the full mixed Hodge polynomial.
On the cohomology of a moduli sp…
UNIVERSITAT WIEN
Partner organizations (coordinator is shown above), with normalized type and CORDIS activity type. Guests see up to 4 partners.
Similar projects, consortium collaboration history, frequent partners, and OpenAlex research context.
Guests see up to 5 EuroSciVoc fields.
Guests see up to 5 topics.
Guests see up to 5 keywords.