Overruled Cones of Permutation Equivariant Quantum K-theory
In string theory we are interested in the set of world sheets swept out by strings moving through spacetime that satisfy certain equations of motion. This set, called a moduli space, is mysterious and complicated but it possess a lot of structure that is not apparent at first glance. I study this moduli space using a mathematical tool called K-theory which leads to studying an infinite dimensional cone in a space of rational functions. This cone is invariant under certain rotations of the space of rational functions. I study arbitrary sets of rational functions invariant under these rotations. This will hopefully shed light back on string theory and other things.
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- Major: Mathematics
- Mentor: Alexander Givental