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By Gunnar Carlsson (auth.), Gunnar E. Carlsson, Ralph L. Cohen, Wu-Chung Hsiang, John D. S. Jones (eds.)

In 1989-90 the Mathematical Sciences learn Institute performed a software on Algebraic Topology and its Applications. the most parts of focus have been homotopy concept, K-theory, and functions to geometric topology, gauge thought, and moduli areas. Workshops have been performed in those 3 components. This quantity comprises invited, expository articles at the issues studied in this application. They describe contemporary advances and aspect to attainable new instructions. they need to turn out to be worthwhile references for researchers in Algebraic Topology and comparable fields, in addition to to graduate students.

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Sibner, Classification of singular Sobolev connections by their holonomy, Comm. Math. Phys. 144 (1992), 337-350. H. Taubes, Monopoles and maps from S2 to S2; the topology of configumtion space, Comm. Math. Phys. 93, 345. H. Taubes, The stable topology of self-dual moduli spaces, Jour. Diff. Geom. 29, 163-230. G. 't Hooft, On the phase tmnsisition towards permanent quark confinement, preprint. edu A SURVEY OF BOUNDED SURGERY THEORY AND APPLICATIONS STEVEN C. FERRY, IAN HAMBLETON, AND ERIK K. PEDERSEN INTRODUCTION We begin by attempting to answer the question: What is bounded topology and why do people study it?

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Milgram, On the moduli space of SU(n) monopoles and holomorphic maps to flag manifolds, J. Diff. Geom. (to appear). M. J. Milgram, The topology of mtional maps to Grossmannians and a homotopy theoretic proof of the Kirwan stability theorem, Proc. of International Conf. Alg. Topology, Mexico. P. May, The geometry of itemted loop spaces, vol. , 1972. T. D thesis, Warwick Univ. (1993). J. Milgram, Itemted loop spaces, Ann. of Math 84 (1966), 386-403. J. Milgram, The structure of spaces of Toeplitz matrices, Topology (to appear).

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