Resumen de Homological mirror symmetry of elementary birational cobordisms
The derived category of coherent sheaves TB associated to a birational cobordism which is either a weighted projective space, a stacky Atiyah flip, or a stacky blow-up of a point has a conjectural mirror Fukaya–Seidel category TA. The potential W defining TA has base C∗ and exhibits a great deal of symmetry. This paper investigates the structure of the Fukaya–Seidel category for the mirror potentials. A proof of homological mirror symmetry TA ∼= TB for these birational cobordisms is then given.
