Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 2-Nilpotent Real Section Conjecture   We show a 2-nilpotent section conjecture over R: for a geometrically
connected curve X over R such that each irreducible component of its
normalization has R-points, pi_0(X(R)) is determined by the maximal 2-nilpotent
quotient of the fundamental group with its Galois action, as the kernel of an
obstruction of Jordan Ellenberg. This implies that for X smooth and proper,
X(R)^{+/-} is determined by the maximal 2-nilpotent quotient of Gal(C(X)) with
its Gal(R)-action, where X(R)^{+/-} denotes the set of real points equipped
with a real tangent direction, showing a 2-nilpotent birational real section
conjecture.

34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat