Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on genus and geometric intersections from cylindrical end moduli
  spaces   In this paper we present a way of computing a lower bound for genus of any
smooth representative of a homology class of positive self-intersection in a
smooth four-manifold $X$ with second positive Betti number $b_2^+(X)=1$. We
study the solutions of the Seiberg-Witten equations on the cylindrical end
manifold which is the complement of the surface representing the class. The
result can be formulated as a form of generalized adjunction inequality. The
bounds obtained depend only on the rational homology type of the manifold, and
include the Thom conjecture as a special case. We generalize this approach to
derive lower bounds on the number of intersection points of $n$ algebraically
disjoint surfaces of positive self-intersection in manifolds with $b_2^+(X)=n$.

20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat