Holonomic $mathcal D$-modules With Betti Structure (Memoires De La Societe Mathematique De France)

Science & Math

Mochizuki, Takuro

Mathematics

Societe Mathematique De France

Periodic Monopoles and Difference Modules (Lecture Notes in Mathematics)

Springer

We introduce mixed twistor D-modules and establish their fundamental functorial properties. We also prove that they can be described as the gluing of admissible variations of mixed twistor structures. In a sense, mixed twistor D-modules can be regarded as a twistor version of M. Saito's mixed Hodge modules. Alternatively, they can be viewed as a mixed version of the pure twistor D-modules studied by C. Sabbah and the author. The theory of mixed twistor D-modules is one of the ultimate goals in the study suggested by Simpson's Meta Theorem and it would form a foundation for the Hodge theory of holonomic D-modules which are not necessarily regular singular.

Mixed Twistor D-modules (Lecture Notes in Mathematics, 2125)

This text defines and studies an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized surface. The goal is to obtain a weaker version of the relations among the invariants.

Donaldson Type Invariants for Algebraic Surfaces: Transition of Moduli Stacks (Lecture Notes in Mathematics, 1972)

See the best price to sell, buy, or rent books by Mochizuki, Takuro. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Mochizuki, Takuro