Homological mirror symmetry of Fermat polynomials
Notice: This research summary and analysis were automatically generated using AI technology. For absolute accuracy, please refer to the [Original Paper Viewer] below or the Original ArXiv Source.
We discuss homological mirror symmetry of Fermat polynomials in terms of derived Morita equivalence between derived categories of coherent sheaves and Fukaya-Seidel categories (a.k.a. perfect derived categories of directed Fukaya categories), and some related aspects such as stability conditions, (kinds of) modular forms, and Hochschild homologies.
💡 Research Summary
The paper studies homological mirror symmetry (HMS) for the family of Fermat polynomials (F_n=x_1^n+\dots+x_n^n). The authors consider the hypersurface (X_n=F_n^{-1}(0)\subset\mathbb P^{,n-1}) and the quotient stack (Y_n=
Comments & Academic Discussion
Loading comments...
Leave a Comment