… the case of complex orbifolds ($CR$ codimension $k=0$), the local stmcture of their singular
locus, and V-holomorphic functions. Sections 4 and 5 are devoted to $CR$ orbifolds of $CR…

1. Introduction. In this paper we shall be concerned with three-dimensional strictly pseudoconvex
Cauchy-Riemann (CR) manifolds. The prime examples of such manifolds arise as …

… Motivated by counting pseudo-holomorphic curves in symplectic Calabi–Yau 3–folds, this
article studies a chamber structure in the space of real Cauchy–Riemann operators on a …

… orbifold to an ordinary Riemannian manifold (and showing that in the homotopy class of a
map of a Riemannian orbifold … our section 1.2) is not an orbifold unless the action of SO(q) on …

… We derive a local index theorem in Quillen’s form for families of Cauchy–Riemann operators
on orbifold Riemann surfaces (or Riemann orbisurfaces) that are quotients of the hyperbolic …

… as orbifold S1-bundles over 2-dimensional orbifolds. At each orbifold point on the base, the
orbifold … The orbifold S1-bundles are topologically classified by their degrees (first Chern …

… The fibers of S g , n ( m ) → S g correspond to configuration spaces of n orbifold points of …
the local index theorem for orbifold Riemann surfaces [Takhtajan and Zograf, Lett. Math. Phys. …

… orbifold to an ordinary Riemannian manifold (and showing that in the homotopy class of a
map of a Riemannian orbifold … our section 1.2) is not an orbifold unless the action of SO(q) on …

… Since EC is not scale invariant (in fact, it can be seen as the square deviation of Φ from
satisfying the Cauchy-Riemann equations) we cannot minimize EC over all linear L as that would …

… In particular the quotient P := Q/S1 becomes a presymplectic orbifold with a finite number
of different types of orbifold points. We denote by Y the vector field generating the S1-action, …