Characteristic classes for spherical fibrations with fibre-preserving free group actions

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Characteristic Classes of Foliated Surface Bundles with Area-preserving Holonomy

Making use of the extended flux homomorphism defined in [13] on the group SympΣg of symplectomorphisms of a closed oriented surface Σg of genus g ≥ 2, we introduce new characteristic classes of foliated surface bundles with symplectic, equivalently area-preserving, total holonomy. These characteristic classes are stable with respect to g and we show that they are highly non-trivial. We also pro...

متن کامل

Chromatic Characteristic Classes in Ordinary Group Cohomology

We study a family of subrings, indexed by the natural numbers, of the mod p cohomology of a finite group G. These subrings are based on a family of vn-periodic complex oriented cohomology theories and are constructed as rings of generalised characteristic classes. We identify the varieties associated to these subrings in terms of colimits over categories of elementary abelian subgroups of G, na...

متن کامل

Calibrated Fibrations on Noncompact Manifolds via Group Actions

In this paper we use Lie group actions on noncompact Riemannian manifolds with calibrations to construct calibrated submanifolds. In particular, if we have an (n−1)torus acting on a noncompact Calabi-Yau n-fold with a trivial first cohomology, then we have a special Lagrangian fibration on that n-fold. We produce several families of examples for this construction and give some applications to s...

متن کامل

A classification of unipotent spherical conjugacy classes in bad characteristic

Let G be a simple algebraic group over an algebraically closed field k of bad characteristic. We classify the spherical unipotent conjugacy classes of G. We also show that if the characteristic of k is 2, then the fixed point subgroup of every involutorial automorphism (involution) of G is a spherical subgroup of G.

متن کامل

Area preserving group actions on S 2

The main result of this paper is that every action of a finite index subgroup of SL(3, Z) on S2 by area preserving diffeomorphisms factors through a finite group. An important tool we use, which may be of independent interest is the result that if F : S2 → S2 is a non-trivial, area preserving, orientation preserving diffeomorphism and if Fix(F ) contains at least three points, then F has points...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Pacific Journal of Mathematics

سال: 1983

ISSN: 0030-8730,0030-8730

DOI: 10.2140/pjm.1983.108.327