Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivariant $K$-theory of semi-infinite flag manifolds and
  Pieri-Chevalley formula   We propose a definition of equivariant (with respect to an Iwahori subgroup)
$K$-theory of the formal power series model $\mathbf{Q}_{G}$ of semi-infinite
flag manifold and prove the Pieri-Chevalley formula, which describes the
product, in the $K$-theory of $\mathbf{Q}_{G}$, of the structure sheaf of a
semi-infinite Schubert variety with a line bundle (associated to a dominant
integral weight) over $\mathbf{Q}_{G}$. In order to achieve this, we provide a
number of fundamental results on $\mathbf{Q}_{G}$ and its Schubert subvarieties
including the Borel-Weil-Bott theory, whose special case is conjectured in [A.
Braverman and M. Finkelberg, Weyl modules and $q$-Whittaker functions, Math.
Ann. 359 (2014), 45--59]. One more ingredient of this paper besides the
geometric results above is (a combinatorial version of) standard monomial
theory for level-zero extremal weight modules over quantum affine algebras,
which is described in terms of semi-infinite Lakshmibai-Seshadri paths. In
fact, in our Pieri-Chevalley formula, the positivity of structure coefficients
is proved by giving an explicit representation-theoretic meaning through
semi-infinite Lakshmibai-Seshadri paths.

18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys