Seiberg-Witten invariants — An expository account
نویسندگان
چکیده
منابع مشابه
Refined Seiberg-witten Invariants
In the past two decades, gauge theoretic methods became indispensable when considering manifolds in dimension four. Initially, research centred around the moduli spaces of Yang-Mills instantons. Simon Donaldson had introduced the instanton equations into the field. Using cohomological data of the corresponding moduli spaces, he defined invariants which could effectively distinguish differentiab...
متن کاملLectures on Seiberg-Witten Invariants
In October 1994 Seiberg-Witten invariants entered in 4-manifold theory with a big bang. Not only did these invariants tidy up the Gauge Theory, but they also gave some exciting new results on topology of smooth 4-manifolds. These notes grew out of the lectures I have given in learning seminars at MPI in Bonn, and METU in Ankara on this subject. The main goal of these notes is not to survey the ...
متن کاملSeiberg Witten Invariants and Uniformizations
We study the Seiberg Witten equations and its applications in uniformization problems. First, we show that KK ahler surfaces covered by product of disks can be characterized using negative Seiberg Witten invariant. Second, we shall use Seiberg Witten equations to construct projectively at U(2; 1) connections on Einstein manifolds and uniformize those with optimal Chern numbers. Third, we study ...
متن کاملSeiberg-Witten Theoretic Invariants of Lens Spaces
We describe an effective algorithm for computing Seiberg-Witten invariants of lens spaces. We apply it to two problems: (i) to compute the Froyshov invariants of a large family of lens spaces; (ii) to show that the knowledge of the Seiberg-Witten invariants of a lens space is topologically equivalent to the knowledge of its Casson-Walker invariant and of its MilnorTuraev torsion. Problem (i) ha...
متن کاملOrientability and Real Seiberg-witten Invariants
We investigate Seiberg-Witten theory in the presence of real structures. Certain conditions are obtained so that integer valued real Seiberg-Witten invariants can be defined. In general we study properties of the real Seiberg-Witten projection map from the point of view of Fredholm map degrees. 2000 MS Classification: 57R57, 53C07, 14P25
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings Mathematical Sciences
سال: 1999
ISSN: 0253-4142,0973-7685
DOI: 10.1007/bf02843530