Through the Looking Glass
نویسنده
چکیده
It is frequently possible to produce new Calabi–Yau threefolds from old ones by a process of allowing the complex structure to degenerate to a singular one, and then performing a resolution of singularities. (Some care is needed to ensure that the Calabi– Yau condition be preserved.) There has been speculation that all Calabi–Yau threefolds could be linked in this way, and considerable evidence has been amassed in this direction. We propose here a natural way to relate this construction to the string-theoretic phenomenon known as “mirror symmetry.” We formulate a conjecture which in principle could predict mirror partners for all Calabi–Yau threefolds, provided that all were indeed linked by the degeneration/resolution process. The conjecture produces new mirrors from old, and so requires some initial mirror manifold construction— such as Greene-Plesser orbifolding—as a starting point. (Lecture given at the CIRM conference, Trento, June 1994, and at the Workshop on Complex Geometry and Mirror Symmetry, Montréal, March 1995.)
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Joe Rozencwajg Homeopathy through the Chinese Looking Glass: Homeosiniatry Revisited Reading excerpt Homeopathy through the Chinese Looking Glass: Homeosiniatry Revisited of Joe Rozencwajg Publisher: Emryss Publisher
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