Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transformation of algebraic Gromov-Witten invariants of three-folds
  under flops and small extremal transitions, with an appendix from the stringy
  and the symplectic viewpoint   We study how Gromov-Witten invariants of projective 3-folds transform under a
standard flop and a small extremal transition in the algebro-geometric setting
from the recent development of algebraic relative Gromov-Witten theory and its
applications. This gives an algebro-geometric account of Witten's wall-crossing
formula for correlation functions of the descendant nonlinear sigma model in
adjacent geometric phases of a gauge linear sigma model and of the symplectic
approach in an earlier work of An-Min Li and Yongbin Ruan on the same problem.
A terse account from the stringy and the symplectic viewpoint is given in the
appendix to complement and compare to the discussion in the main text.

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The categories of this paper are: hep-ex
18
The categories of this paper are: econ
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci