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- W2963676295 abstract "Landau-Ginzburg mirror symmetry predicts isomorphisms between graded Frobenius algebras (denoted A and B) that are constructed from a nondegenerate quasihomogeneous polynomial W and a related group of symmetries G. Duality between A and B models has been conjectured for particular choices of W and G. These conjectures have been proven in many instances where W is restricted to having the same number of monomials as variables (called invertible). Some conjectures have been made regarding isomorphisms between A and B models when W is allowed to have more monomials than variables. In this paper we show these conjectures are false; that is, the conjectured isomorphisms do not exist. Insight into this problem will not only generate new results for Landau-Ginzburg mirror symmetry, but will also be interesting from a purely algebraic standpoint as a result about groups acting on graded algebras. Acknowledgements: The author would like to thank Dr. Tyler Jarvis of Brigham Young University for his mentoring during this project. This research was also partially supported by grants from the BYU Harold B. Lee Library and the BYU Office of Research and Creative Activities. Page 54 RHIT Undergrad. Math. J., Vol. 16, No. 2" @default.
- W2963676295 created "2019-07-30" @default.
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- W2963676295 date "2014-01-01" @default.
- W2963676295 modified "2023-09-23" @default.
- W2963676295 title "Transposing Noninvertible Polynomials" @default.
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