Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subtle characteristic classes and Hermitian forms   Following [14], we compute the motivic cohomology ring of the Nisnevich
classifying space of the unitary group associated to the standard split
hermitian form of a quadratic extension. This provides us with subtle
characteristic classes which take value in the motivic cohomology of the
\v{C}ech simplicial scheme associated to a hermitian form. Comparing these new
classes with subtle Stiefel-Whitney classes arising in the orthogonal case, we
obtain relations among the latter ones holding in the motivic cohomology of the
\v{C}ech simplicial scheme associated to a quadratic form divisible by a 1-fold
Pfister form. Moreover, we present a description of the motive of the torsor
corresponding to a hermitian form in terms of its subtle characteristic
classes.

20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph