Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Cohomology of Grassmannians and Total Positivity   We give a proof of a result of D. Peterson's identifying the quantum
cohomology ring of a Grassmannian with the reduced coordinate ring of a certain
subvariety of $GL_n$. The totally positive part of this subvariety is then
constructed and we give closed formulas for the values of the Schubert basis
elements on the totally positive points. We then use the developed methods to
give a new proof of a formula of Vafa and Intriligator and Bertram for the
structure constants (Gromov--Witten invariants). Finally, we use the positivity
of these Gromov--Witten invariants to prove certain inequalities for Schur
polynomials at roots of unity.

37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg