Monthly Archives: December 2008

Kontsevich’s Formula

Posted on December 23, 2008 by Charles Siegel

This is my last post of 2008, so happy holidays to everyone!. This one shouldn’t take too long, it’s just applying the lessons of the last few posts to compute some numbers. We start by talking like physicists. We’ll write … Continue reading →

Posted in Algebraic Geometry, Big Theorems, Cohomology, Computational Methods, Curves, Enumerative Geometry | 6 Comments

Quantum Cohomology

Posted on December 18, 2008 by Charles Siegel

Now that we know what a Gromov-Witten invariant is (at least, for nice spaces…we’re avoiding stacks for this series, and assuming that everything behaves nicely and that these actually count things…), we can start talking about Quantum Cohomology, which organizes … Continue reading →

Posted in Algebraic Geometry, Cohomology, Computational Methods, Curves, Enumerative Geometry | 2 Comments

The Giant’s Shoulders #6

Posted on December 15, 2008 by Charles Siegel

And now it’s time for the sixth edition of The Giant’s Shoulders! Without further ado: the posts 1672 – Isaac Newton experiments with light and prisms. These experiments ignited a controversy in physics: is light a particle or a wave? … Continue reading →

Posted in Uncategorized | 13 Comments

Gromov-Witten Invariants

Posted on December 12, 2008 by Charles Siegel

Ok, sorry this took so long, but I’m back. Hopefully will be more regular now. Anyway, last time we talked about Stable Maps, and in the meantime, there’s been a post at the Secret Blogging Seminar talking about Gromov-Witten invariants … Continue reading →

Posted in Algebraic Geometry, Cohomology, Computational Methods, Curves, Enumerative Geometry | 3 Comments