The Novikov conjecture is the one most vital unsolved challenge within the topology of high-dimensional non-simply hooked up manifolds. those volumes provide a photograph of the prestige of labor at the Novikov conjecture and similar subject matters from many issues of view: geometric topology, homotopy idea, algebra, geometry, and research. quantity 1 incorporates a distinct old survey and bibliography of the Novikov conjecture and of comparable next advancements, together with an annotated reprint (both within the unique Russian and in English translation) of Novikov's unique 1970 assertion of his conjecture; an annotated challenge record; the texts of numerous very important unpublished vintage papers via Milnor, Browder, and Kasparov; and research/survey papers at the Novikov conjecture via Ferry/Weinberger, Gromov, Mishchenko, Quinn, Ranicki, and Rosenberg. quantity 2 comprises basic lengthy study papers via G. Carlsson on "Bounded K-theory and the meeting map in algebraic K-theory" and by way of S. Ferry and E. Pedersen on "Epsilon surgical procedure theory"; and shorter examine and survey papers on a variety of subject matters relating to the Novikov conjecture, by means of Bekka, Cherix, Valette, Eichhorn, and others. those volumes will attract researchers attracted to studying extra approximately this interesting quarter.
Read Online or Download Novikov Conjectures, Index Theorems, and Rigidity: Volume 1: Oberwolfach 1993 (London Mathematical Society Lecture Note Series) PDF
Best Algebraic Geometry books
The Many Facets of Geometry: A Tribute to Nigel Hitchin (Oxford Science Publications)
Few humans have proved extra influential within the box of differential and algebraic geometry, and in displaying how this hyperlinks with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made primary contributions in parts as assorted as: spin geometry, instanton and monopole equations, twistor idea, symplectic geometry of moduli areas, integrables structures, Higgs bundles, Einstein metrics, hyperkähler geometry, Frobenius manifolds, Painlevé equations, specific Lagrangian geometry and reflect symmetry, thought of grebes, and plenty of extra.
First textbook-level account of simple examples and strategies during this sector. appropriate for self-study by means of a reader who is aware a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yankee Mathematical Society, in addition to a profitable Springer writer.
Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics)
In response to a direction given to gifted high-school scholars at Ohio college in 1988, this booklet is largely a complicated undergraduate textbook concerning the arithmetic of fractal geometry. It properly bridges the distance among conventional books on topology/analysis and extra really good treatises on fractal geometry.
Higher-Dimensional Algebraic Geometry (Universitext)
The type idea of algebraic types is the focal point of this ebook. This very lively sector of study continues to be constructing, yet an awesome volume of data has gathered during the last two decades. The authors aim is to supply an simply available creation to the topic. The booklet starts off with preparatory and conventional definitions and effects, then strikes directly to speak about a variety of features of the geometry of gentle projective forms with many rational curves, and finishes in taking the 1st steps in the direction of Moris minimum version software of class of algebraic kinds through proving the cone and contraction theorems.
Additional resources for Novikov Conjectures, Index Theorems, and Rigidity: Volume 1: Oberwolfach 1993 (London Mathematical Society Lecture Note Series)