Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lagrangian antisurgery   We describe an operation which modifies a Lagrangian submanifold $L$ in a
symplectic manifold $(M, \omega)$ such as to produce a new immersed Lagrangian
submanifold $L'$, which as a smooth manifold is obtained by surgery along a
framed sphere in $L$. Intuitively, this can be described as collapsing an
isotropic disc with boundary on $L$ to a point. The inverse operation
generalizes classical Lagrangian surgery. We also describe corresponding
immersed Lagrangian cobordisms between $L$ and $L'$ . After removal of their
singular locus, we obtain examples of embedded Lagrangian cobordisms with
precisely two ends. As an application, we use this construction to produce
interesting examples of Lagrangian cobordisms between Clifford and Chekanov
tori.

5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg