A G ] 3 1 M ay 2 00 8 Hodge theoretic aspects of mirror symmetry

@inproceedings{KatzarkovAG,
  title={A G ] 3 1 M ay 2 00 8 Hodge theoretic aspects of mirror symmetry},
  author={Ludmil Katzarkov and Maxim Kontsevich and Tony G. Pantev}
}
We discuss the Hodge theory of algebraic non-commutative spaces and analyze how this theory interacts with the Calabi-Yau condition and with mirror symmetry. We develop an abstract theory of non-commutative Hodge structures, investigate existence and variations, and propose explicit construction and classification techniques. We study the main examples of… CONTINUE READING