Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connective algebraic K-theory   We examine the theory of connective algebraic K-theory, CK, defined by taking
the -1 connective cover of algebraic K-theory with respect to Voevodsky's slice
tower in the motivic stable homotopy category. We extend CK to a bi-graded
oriented duality theory (CK', CK) in case the base scheme is the spectrum of a
field k of characteristic zero. The homology theory CK' may be viewed as
connective algebraic G-theory. We identify CK' theory in bi-degree (2n, n) on
some finite type k-scheme X with the image of K_0(M(X,n)) in K_0(M(X, n+1)),
where M(X,n) is the abelian category of coherent sheaves on X with support in
dimension at most n; this agrees with the (2n,n) part of the theory defined by
Cai. We also show that the classifying map from algebraic cobordism identifies
CK' with the universal oriented Borel-Morel homology theory
\Omega_*^{CK}:=\Omega_*\otimes_L\Z[\beta] having formal group law u+v-\beta uv
with coefficient ring \Z[\beta]. As an application, we show that every pure
dimension d finite type k scheme has a well-defined fundamental class [X] in
\Omega_d^{CK}(X), and this fundamental class is functorial with respect to
pull-back for lci morphisms. Finally, the fundamental class maps to the
fundamental class in G-theory after inverting \beta, and to the fundamental
class in CH after moding out by \beta.

17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th