The motivation for this paper is a better understanding of the basic building blocks of FJRW theory. The basics of FJRW theory will be briefly outlined, but the majority of the paper will deal with certain multivariate polynomials which are the most fundamental building blocks in FJRW theory. We will first describe what is already known about these polynomials and then discuss several properties we proved as well as conjectures we disproved. We also introduce a new conjecture suggested by computer calculations performed as part of our investigation.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Mancuso, Scott C., "Investigations into Non-Degenerate Quasihomogeneous Polynomials as Related to FJRW Theory" (2015). All Theses and Dissertations. 5534.
FJRW theory, Landau-Ginzburg, algebraic geometry