Group actions on spin manifolds

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

GROUP ACTIONS ON SPIN MANIFOLDS(i)

A generalization of the theorem of V. Bargmann concerning unitary and ray representations is obtained and is applied to the general problem of lifting group actions associated to the extension of structure of a bundle. In particular this is applied to the Poincare group ? of a Lorentz manifold M. It is shown that the topological restrictions needed to lift an action in ? are more stringent than...

متن کامل

On Symmetric Group S3 Actions on Spin 4-manifolds

Let X be a smooth, closed, connected spin 4-manifold with b1(X) = 0 and non-positive signature σ(X). In this paper we use Seiberg-Witten theory to prove that if X admits an odd type symmetric group S3 action preserving the spin structure, then b+2 (X) ≥ |σ(X)|/8 + 3 under some non-degeneracy conditions. We also obtain some information about IndS̃3 D, where S̃3 is the extension of S3 by Z2.

متن کامل

On Spin Z 6 - Actions on Spin 4 - Manifolds 1

Let X be a smooth, closed, connected spin 4-manifold with b1(X) = 0 and non-positive signature σ(X). In this paper we use SeibergWitten theory to prove that if X admits a spin Z6 action of even type, then b+2 (X) ≥ |σ(X)|/8 + 2 under some non-degeneracy conditions. AMS Mathematics Subject Classification (2000): 57R57, 57M60, 57R15

متن کامل

Homologically Trivial Group Actions on 4-Manifolds

In this paper we investigate pseudofree homologically trivial actions of arbitrary finite groups on simply connected 4-manifolds. It turns out that there are surprisingly strong restrictions on the groups and on the actions, especially when one considers the fact that any finite group can act, even freely, on some simply connected 4-manifold. Recall that a finite group action is free if no nont...

متن کامل

Finite Group Actions on Kervaire Manifolds

Let M K be the Kervaire manifold: a closed, piecewise linear (PL) manifold with Kervaire invariant 1 and the same homology as the product S × S of spheres. We show that a finite group of odd order acts freely on M K if and only if it acts freely on S × S. If MK is smoothable, then each smooth structure on MK admits a free smooth involution. If k 6= 2 − 1, then M K does not admit any free TOP in...

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: Transactions of the American Mathematical Society

سال: 1972

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-1972-0309033-4