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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

4 votes
1 answer
191 views

Quiver invariants as polynomials/algebraic curves

I'm interested in algebraic curves one can associate to gauge or string theories. Examples involve Seiberg-Witten curves or family of A-polynomials which define holomorphic Lagrangian submanifolds for …
5 votes
0 answers
273 views

Can this set of equations be solved explicitly for algebraic curves?

In my recent work I stumbled upon a set of two equations. I'm interested in solving by eliminating auxiliary variable "$z$" and getting algebraic curve in terms of $x$ and $y$ given by the zero locus …
10 votes
1 answer
681 views

Calabi-Yau manifolds and knot theory

In the paper "The Volume Conjecture and Topological Strings" it is said that the mirror Calabi-Yau threefold is given by $X := \{ (x,y,u,v) \in \mathbb{C^* \times\mathbb{C^*} \times \mathbb{C} \time …