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math.DG2000
Gauge Theory Techniques in Quantum Cohomology
S. Rosenberg, M. Vajiac
Quantum cohomology gives a finite dimensional integrable system via the Dubrovin connection. Motivated by Givental's work on mirror symmetry, we use gauge theory techniques and the…
math.DG2000
Curvature on determinant bundles and first Chern forms
Sylvie Paycha, Steven Rosenberg
The Quillen-Bismut-Freed construction associates a determinant line bundle with connection to an infinite dimensional super vector bundle with a family of Dirac-type operators. We…