Product formulas along $T^3$ for Seiberg-Witten invariants
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 کاملA Vanishing Theorem for Seiberg-witten Invariants
It is shown that the quotients of Kähler surfaces under free anti-holomorphic involutions have vanishing Seiberg-Witten invariants. Various vanishing theorems have played important roles in gauge theory. The first among them, due to S. K. Donaldson [2], states that the Donaldson invariants vanish for any smooth closed oriented 4-manifold X which decomposes to a connected sum X1#X2 with b2 (X1) ...
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...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 1997
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.1997.v4.n6.a11