Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large N dualities and transitions in geometry   The focus of these lectures is the Gopakumar-Vafa's insight that ``Large N
dualities'' (relating gauge theories and closed strings) are realized, in
certain cases, by "transition in geometry". In their pivotal 1998 example, the
gauge theory is SU(N) Chern-Simons theory on S^3, for large N, and the
transition is the "conifold" transition between two Calabi--Yau varieties. Much
progress has been made to support Gopakumar and Vafa's conjecture, including
the lift of the transition to a transformation between 7-manifolds with G_2
holonomy. In another direction, this set up brings us to consider the uncharted
territory of "open Gromov-Witten invariants". The lectures, hence the notes,
were prepared for an audience of beginning graduate students, in mathematics
and physics, whom we hope to get interested in this subject. Because most of
the material presented in these lectures comes from the physics literature, we
aimed to build a bridge for the mathematicians towards the physics papers on
the subject.

36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph