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SOME REMARKS ON LANDAU–GINZBURG POTENTIALS FOR ODD-DIMENSIONAL QUADRICS

Part of: Projective and enumerative geometry

Published online by Cambridge University Press:  18 December 2014

VASSILY GORBOUNOV  and
MAXIM SMIRNOV
VASSILY GORBOUNOV
Affiliation:
Institute of Mathematics, University of Aberdeen, Aberdeen, AB24 3UE, United Kingdom e-mail: v.gorbunov@abdn.ac.uk
MAXIM SMIRNOV
Affiliation:
Mathematics Section, The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151 Trieste, Italy e-mail: msmirnov@ictp.it
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Abstract

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We study the possibility of constructing a Frobenius manifold for the standard Landau–Ginzburg model of odd-dimensional quadrics Q2n+1 and matching it with the Frobenius manifold attached to the quantum cohomology of these quadrics. Namely, we show that the initial conditions of the quantum cohomology Frobenius manifold of the quadric can be obtained from the suitably modified standard Landau–Ginzburg model.

MSC classification

Primary: 14N35: Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 57 , Issue 3 , September 2015 , pp. 481 - 507
Copyright
Copyright © Glasgow Mathematical Journal Trust 2014 

References

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