Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Punctured logarithmic maps   We introduce a variant of stable logarithmic maps, which we call punctured
logarithmic maps. They allow an extension of logarithmic Gromov-Witten theory
in which marked points have a negative order of tangency with boundary
divisors.
  As a main application we develop a gluing formalism which reconstructs stable
logarithmic maps and their virtual cycles without expansions of the target,
with tropical geometry providing the underlying combinatorics.
  Punctured Gromov-Witten invariants also play a pivotal role in the intrinsic
construction of mirror partners by the last two authors in arXiv:1909.07649,
conjecturally relating to symplectic cohomology, and in the logarithmic gauged
linear sigma model in upcoming work of the second author with Felix Janda and
Yongbin Ruan.

10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas