Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relative quasimaps and mirror formulae   We construct and study the theory of relative quasimaps in genus zero, in the
spirit of Gathmann. When $X$ is a smooth toric variety and $Y$ is a smooth very
ample hypersurface in $X$, we produce a virtual class on the moduli space of
relative quasimaps to $(X,Y)$, which we use to define relative quasimap
invariants. We obtain a recursion formula which expresses each relative
invariant in terms of invariants of lower tangency, and apply this formula to
derive a quantum Lefschetz theorem for quasimaps, expressing the restricted
quasimap invariants of $Y$ in terms of those of $X$. Finally, we show that the
relative $I$-function of Fan-Tseng-You coincides with a natural generating
function for relative quasimap invariants, providing mirror-symmetric
motivation for the theory.

24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th