Results 161 to 170 of about 296,982 (211)

Characteristic Class of Isotopy for Surfaces

Journal of Systems Science and Complexity, 2020
The paper studies piecewise-smooth (PS) isotopy invariants of PS embeddings of 3-dimensional surfaces into the 3-dimensional Euclidean space \(\mathbb R^3\). For a closed oriented surface \(M\) there are two natural invariants. For simplicity I define them for smooth embeddings \(f:M\to\mathbb R^3\). Take a shift \(\overline f:M\to\mathbb R^3\) so that
Yuxue Ren, Chengfeng Wen, Shengxian Zhen, Na Lei, Feng Luo 0002, Xianfeng David Gu   +5 more
openaire   +1 more source

CHARACTERISTIC CLASSES OF FOLIATIONS

Russian Mathematical Surveys, 1973
The papers we are going to discuss were for the most part completed very recently. Intense activity is going on along the lines they indicate and the time for a detailed survey has not yet come. Our article has more modest aims: to introduce the reader to the present state of the subject and to arouse in him an interest in the further development of ...
openaire   +2 more sources

Relative Characteristic Classes

American Journal of Mathematics, 1957
In the proof, we shall make use of a not quite classical form of Whitney duality, involving Stiefel-Whitney characteristic classes which have to be considered as relative cohomology classes. Since these slightly generalized characteristic classes may have some interest for themselves, the present paper is divided into two parts as follows.
openaire   +1 more source

SYMPLECTIC CHARACTERISTIC CLASSES

2001
Summary: We present a new proof of the fact that the universal symplectic classes \(d_j(\mathbb{Z})\in H^{2j}(\text{Sp}(\mathbb{Z}),\mathbb{Z})\) have infinite order. This proof uses only techniques from group cohomology. In order to obtain this result, we determine the representations \(\mathbb{Z}/p\mathbb{Z}\to\text{U}((p-1)/2)\) whose associated ...
openaire   +2 more sources

CHARACTERISTIC CLASSES OF HERMITIAN MANIFOLDS

The Annals of Mathematics, 1946
In recent years the works of Stiefel,1 Whitney,2 Pontrjagin,3 Steenrod,4 Feldbau,5 Ehresmann,6 etc. have added considerably to our knowledge of the topology of manifolds with a differentiable structure, by introducing the notion of so-called fibre bundles.
openaire   +1 more source

Characteristic Classes

2022
openaire   +2 more sources

Secondary Characteristic Classes

The Annals of Mathematics, 1962
Peterson, F. P., Stein, Norman
openaire   +1 more source

PL Characteristic Classes and Cobordism

The Annals of Mathematics, 1973
Brumfiel, G., Madsen, I., Milgram, R. J.
openaire   +2 more sources