By Nigel Ray, Grant Walker
J. Frank Adams had a profound effect on algebraic topology, and his paintings maintains to form its improvement. The overseas Symposium on Algebraic Topology held in Manchester in the course of July 1990 was once devoted to his reminiscence, and almost all the world's major specialists took half. This quantity paintings constitutes the complaints of the symposium; the articles contained right here diversity from overviews to reviews of labor nonetheless in growth, in addition to a survey and entire bibliography of Adam's personal paintings. those lawsuits shape a massive compendium of present learn in algebraic topology, and person who demonstrates the intensity of Adams' many contributions to the topic. This moment quantity is orientated in the direction of homotopy idea, the Steenrod algebra and the Adams spectral series. within the first quantity the subject is principally risky homotopy concept, homological and express.
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Kontsevich, Yu. I. Manin, (with appendix by R. Kaufmann), Quantum cohomology of a product. Invent. Math. 124 (1996), no. 1-3, 313–339.  F. F. Knudsen, The projectivity of the moduli space of stable curves. II. The stacks Mg,n . Math. Scand. 52 (1983), no. 2, 161–199.  V. Lin, Configuration spaces of C and CP1 : some analytic properties. AG/0403120.  C. C. M. SG/0210257.  Yu. I. Manin, Frobenius manifolds, quantum cohomology and moduli spaces, AMS Colloquium Publications vol 47, Providence, RI, (1999), 303 pp.
127 (2005), no. 1, 89–121. ca 38 Proceedings of 13th G¨ okova Geometry-Topology Conference pp. 39 – 51 Moduli spaces of rational tropical curves Grigory Mikhalkin Abstract. This note is devoted to the definition of moduli spaces of rational tropical curves with n marked points. We show that this space has a structure of a smooth tropical variety of dimension n − 3. We define the Deligne-Mumford compactification of this space and tropical ψ-class divisors. This paper gives a detailed description of the moduli space of tropical rational curves mentioned in .
Org/abs/math/0612267. , The tropical Grassmannian. Adv. Geom. 4 (2004), no. 3, 389–411.  Viro, O. , Dequantization of real algebraic geometry on logarithmic paper. In European Congress of Mathematics, Vol. I (Barcelona, 2000), Progr. , 201, Birkh¨ auser, Basel, 2001, 135–146. Department of Mathematics, University of Toronto, 40 St George St, Toronto ON M5S 2E4 Canada 51 Proceedings of 13th G¨ okova Geometry-Topology Conference pp. 52 – 90 Exploded fibrations Brett Parker Abstract. Initiated by Gromov in , the study of holomorphic curves in symplectic manifolds has been a powerfull tool in symplectic topology, however the moduli space of holomorphic curves is often very difficult to find.