Logarithmic quasimaps
Copyright policy )Logarithmic quasimaps
We construct a proper moduli space which is a Deligne-Mumford stack parametrising quasimaps relative to a simple normal crossings divisor in any genus using logarithmic geometry. We show this moduli space admits a virtual fundamental class of the expected dimension leading to numerical invariants which agree with the theory of Battistella-Nabijou where the latter is defined.
Final version to appear in Advances in Mathematics
- University of Birmingham United Kingdom
Mathematics - Algebraic Geometry, logarithmic quasimaps, FOS: Mathematics, logarithmic Gromov-Witten theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Logarithmic algebraic geometry, log schemes, Algebraic Geometry (math.AG)
Mathematics - Algebraic Geometry, logarithmic quasimaps, FOS: Mathematics, logarithmic Gromov-Witten theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Logarithmic algebraic geometry, log schemes, Algebraic Geometry (math.AG)
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