Algebraic and Geometric Topology 1 (2001), paper no. 35, pages 709-718.

Nonzero degree tangential maps between dual symmetric spaces

Boris Okun

Abstract. We construct a tangential map from a locally symmetric space of noncompact type to its dual compact type twin. By comparing the induced map in cohomology to a map defined by Matsushima, we conclude that in the equal rank case the map has a nonzero degree.

Keywords. Locally symmetric space, duality, degree, tangential map, Matsushima's map

AMS subject classification. Primary: 53C35 . Secondary: 57T15, 55R37, 57R99.

DOI: 10.2140/agt.2001.1.709

E-print: arXiv:math.DG/0112316

Submitted: 8 November 2001. (Revised: 27 November 2001.) Accepted: 28 November 2001. Published: 30 November 2001.

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Boris Okun
Department of Mathematical Sciences
University of Wisconsin--Milwaukee
Milwaukee, WI 53201, USA

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