Differential Topology of Complex Surfaces
Elliptic Surfaces with pg = 1: Smooth Classification
Seiten
1993
|
1993
Springer Berlin (Verlag)
978-3-540-56674-8 (ISBN)
Springer Berlin (Verlag)
978-3-540-56674-8 (ISBN)
This book is about the smooth classification of a certainclass of algebraicsurfaces, namely regular ellipticsurfaces of geometric genus one, i.e. elliptic surfaces withb1 = 0 and b2+ = 3. The authors give a completeclassification of these surfaces up to diffeomorphism. Theyachieve this result by partially computing one of Donalson'spolynomial invariants. The computation is carried out usingtechniques from algebraic geometry. In these computationsboth thebasic facts about the Donaldson invariants and therelationship of the moduli space of ASD connections with themoduli space of stable bundles are assumed known. Somefamiliarity with the basic facts of the theory of moduliofsheaves and bundles on a surface is also assumed. This workgives a good and fairly comprehensive indication of how themethods of algebraic geometry can be used to computeDonaldson invariants.
Unstable polynomials of algebraic surfaces.- Identification of ?3,r (S, H) with ?3(S).- Certain moduli spaces for bundles on elliptic surfaces with p g = 1.- Representatives for classes in the image of the ?-map.- The blow-up formula.- The proof of Theorem 1.1.1.
Erscheint lt. Verlag | 30.8.1993 |
---|---|
Reihe/Serie | Lecture Notes in Mathematics |
Mitarbeit |
Assistent: M. Niss |
Zusatzinfo | VII, 224 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 310 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
Schlagworte | Blowing up • diffeomorphism • Differential topology • Differenzialtopologie • elliptic surfaces • four-manifolfds • moduli space • Oberfläche |
ISBN-10 | 3-540-56674-0 / 3540566740 |
ISBN-13 | 978-3-540-56674-8 / 9783540566748 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Gekrümmte Kurven und Flächen
Buch | Softcover (2024)
De Gruyter (Verlag)
49,95 €
Buch | Hardcover (2022)
Freies Geistesleben (Verlag)
24,00 €