Note on the space of algebraic loops on a toric variety (New trends of transformation groups)

Abstract

The homotopy type of the space of rational curves on a toric variety has been well studied by several authors since the work of Segal [27] appeared (cf. [9], [10], [12], [15], [18], [25]). In this note we shall consider the real analogue of these spaces. In particular, we report about the homotopy type of spaces of algebraic loops on a toric variety. This result is based on the joint works with A. Kozlowski given in [19].