8 citations · 8 across the 2 of their papers we have counts for
9 papers
Gromov-Witten invariants of flag manifolds, via D-modules
A. Amarzaya, M. A. Guest
The quantum cohomology algebra of the (full) flag manifold is a fundamental example in quantum cohomology theory, with connections to combinatorics, algebraic geometry, and integra…
Quantum cohomology via D-modules
Martin A. Guest
We propose a new point of view on quantum cohomology, strongly motivated by the work of Givental and Dubrovin, but closer to differential geometry than the existing approaches. The…
An update on harmonic maps of finite uniton number, via the zero curvature equation
Martin A. Guest
This is primarily a survey of the developments in the theory of harmonic maps of finite uniton number (or unitons) which have taken place since the introduction of extended solutio…
Introduction to homological geometry: part II
Martin A. Guest
Although this article can be read independently, it is a continuation of the introduction to integrable systems aspects of quantum cohomology given in part 1 (math.DG/0104274). In…
Introduction to homological geometry: part I
Martin A. Guest
This is an introduction to some of the analytic (or integrable systems) aspects of quantum cohomology which have attracted much attention during the last few years. The small quant…
Morse theory in the 1990's
Martin Guest
This is a survey article on Morse theory based on lectures to graduate students and advanced undergraduates. After a brief review of standard material, mostly without proofs, the M…