Contact invariants of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">Q</mml:mi></mml:math>-Gorenstein toric contact manifolds, the Ehrhart polynomial and Chen-Ruan cohomology

The Chen-ruan Cohomology of Almost Contact Orbifolds

Comparing to the Chen-Ruan cohomology theory for the almost complex orbifolds, we study the orbifold cohomology theory for almost contact orbifolds. We define the Chen-Ruan cohomology group of any almost contact orbifold. Using the methods for almost complex orbifolds (see [2]), we define the obstruction bundle for any 3-multisector of the almost contact orbifolds and the Chen-Ruan cup product ...

Contact Homology of Good Toric Contact Manifolds

In this paper we show that any good toric contact manifold has well defined cylindrical contact homology and describe how it can be combinatorially computed from the associated moment cone. As an application we compute the cylindrical contact homology of a particularly nice family of examples that appear in the work of Gauntlett-Martelli-SparksWaldram on Sasaki-Einstein metrics. We show in part...

Notes on Chen-ruan Cohomology

Contact toric manifolds

We complete the classification of compact connected contact toric manifolds initiated by Banyaga and Molino and by Galicki and Boyer. As an application we prove the conjectures of Toth and Zelditch on toric integrable systems on the n-torus and the 2-sphere.

Chen–ruan Cohomology of Some Moduli Spaces

Let X be a compact connected Riemann surface of genus at least two. We compute the Chen–Ruan cohomology ring of the moduli space of stable PSL(2, C)– bundles of nontrivial second Stiefel–Whitney class over X .