Donaldson–Thomas invariants of Calabi–Yau orbifolds under flops

The Donaldson-thomas Invariants under Blowups and Flops

Using the degeneration formula for Doanldson-Thomas invariants, we proved formulae for blowing up a point and simple flops.

Lectures on Gromov–witten Invariants of Orbifolds

0.1. What this is. This text came out of my CIME minicourse at Cetraro, June 6-11, 2005. I kept the text relatively close to what actually happened in the course. In particular, because of last minutes changes in schedule, the lectures on usual Gromov–Witten theory started after I gave two lectures, so I decided to give a sort of introduction to non-orbifold Gromov–Witten theory, including an e...

Preservation of Adiabatic Invariants under

Symplectic methods, like the Verlet method, are a standard tool for the long term integration of Hamiltonian systems as they arise, for example , in molecular dynamics. One of the reasons for the popularity of symplectic methods is the conservation of energy over very long periods of time up to small uctuations that scale with the order of the method. In this paper, we discuss a qualitative fea...

Differential Invariants under Gamma Correction

This paper presents invariants under gamma correction and similarity transformations. The invariants are local features based on differentials which are implemented using derivatives of the Gaussian. The use of the proposed invariant representation is shown to yield improved correlation results in a template matching scenario.

Flops, Type Iii Contractions and Gromov–witten Invariants on Calabi–yau Threefolds