nLab Martin A. Guest

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Selected wrirings

Identification of the higher homotopy groups of the homotopy of rational maps on the Riemann sphere:

• Martin A. Guest, Andrzej Kozlowski, M. Murayama, Kohhei Yamaguchi, The homotopy type of the space of rational functions, J. Math. Kyoto Univ. 35(4): 631-638 (1995) (doi:10.1215/kjm/1250518652)

On homotopy of rational maps from a compact Riemann surface to a toric variety:

• Martin A. Guest, Configuration spaces and the space of rational curves on a toric variety, Bull. Amer. Math. Soc. 31 (1994), 191-196 (doi:10.1090/S0273-0979-1994-00515-4)

• Martin A. Guest, The topology of the space of rational curves on a toric variety, Acta Math. 174(1): 119-145 (1995) (doi:10.1007/BF02392803, arXiv:alg-geom/9301005)

On quantum cohomology rings:

• Martin A. Guest, Introduction to Quantum Cohomology, Vietnam Journal of Mathematics 33 SI (2005) 29–59 [pdf]

• Martin A. Guest, Quantum cohomology: is it still relevant? [arXiv:2210.05413]

On configuration spaces of points:

• Martin A. Guest, Andrzej Kozlowski, Kohhei Yamaguchi: Stability of configuration spaces of positive and negative particles (2020?) [pdf, pdf]

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