Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A^1-homotopy invariance in spectral algebraic geometry   We study two different flavours of A^1-homotopy theory in the setting of
spectral algebraic geometry, and compare them to classical A^1-homotopy theory.
As an application we show that the spectral analogue of Weibel's homotopy
invariant K-theory collapses to the classical theory. Along the way we give a
new construction of nonconnective algebraic K-theory of stable
infinity-categories via a generalization of the Bass-Thomason-Trobaugh
construction.

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The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
16
The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
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The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci