On normal characteristic classes of bounded manifolds
نویسندگان
چکیده
منابع مشابه
Characteristic Classes on Grassmann Manifolds
In this paper, we use characteristic classes of the canonical vector bundles and the Poincaré dualality to study the structure of the real homology and cohomology groups of oriented Grassmann manifold G(k, n). Show that for k = 2 or n ≤ 8, the cohomology groups H∗(G(k, n),R) are generated by the first Pontrjagin class, the Euler classes of the canonical vector bundles. In these cases, the Poinc...
متن کاملec 2 00 6 On characteristic classes of Q - manifolds
We define the notion of characteristic classes for supermanifolds endowed with a homological vector field Q. These are valued in the cohomology of the Lie derivative operator L Q acting on arbitrary tensor fields. We formulate a classification theorem for intrinsic characteristic classes and give their explicit description. 1. Let M be a smooth supermanifold and T (M) = n,m∈N T (n,m) (M) be its...
متن کامل2 00 6 On characteristic classes of Q - manifolds
We define the notion of characteristic classes for supermanifolds endowed with a homological vector field Q. These are valued in the cohomology of the Lie derivative operator L Q acting on arbitrary tensor fields. We formulate a classification theorem for intrinsic characteristic classes and give their explicit description. 1. Let M be a smooth supermanifold and T (M) = n,m∈N T (n,m) (M) be its...
متن کاملCharacteristic Classes of Q-manifolds: Classification and Applications
A Q-manifold M is a supermanifold endowed with an odd vector field Q squaring to zero. The Lie derivative LQ along Q makes the algebra of smooth tensor fields on M into a differential algebra. In this paper, we define and study the invariants of Q-manifolds called characteristic classes. These take values in the cohomology of the operator LQ and, given an affine symmetric connection with curvat...
متن کاملCharacteristic Cohomotopy Classes for Families of 4-manifolds
Families of smooth closed oriented 4-manifolds with a complex spin structure are studied by means of a family version of the Bauer-Furuta invariants. The definition is given in the context of parametrised stable homotopy theory, but an interpretation in terms of characteristic cohomotopy classes on Thom spectra associated to the classifying spaces of complex spin diffeomorphism groups is given ...
متن کاملذخیره 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: Topology
سال: 1976
ISSN: 0040-9383
DOI: 10.1016/0040-9383(76)90005-7