منابع مشابه
Picard–lefschetz Theory and Characters of a Semisimple Lie Group
The paper applies Picard-Lefschetz theory to the distribution characters of infinite dimensional representations of semisimple Lie groups and analyzes their asymptotic behavour at the identity.
متن کاملToward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence
We show that the semi-classical analysis of generic Euclidean path integrals necessarily requires complexification of the action and measure, and consideration of complex saddle solutions. We demonstrate that complex saddle points have a natural interpretation in terms of the Picard-Lefschetz theory. Motivated in part by the semi-classical expansion of QCD with adjoint matter on R × S, we study...
متن کاملThe Picard-Lefschetz formula and a conjecture of Kato: The case of Lefschetz fibrations
The rational cohomology groups of complex algebraic varieties possess Hodge structures which can be used to refine their usual topological nature. Besides being useful parameters for geometric classification, these structures reflect in essential ways the conjectural category of motives, and hence, are of great interest from the viewpoint of arithmetic. A key link here is provided by the Hodge ...
متن کامل2 Toric Duality , Seiberg Duality and Picard - Lefschetz Transformations
Toric Duality arises as an ambiguity in computing the quiver gauge theory living on a D3-brane which probes a toric singularity. It is reviewed how, in simple cases Toric Duality is Seiberg Duality. The set of all Seiberg Dualities on a single node in the quiver forms a group which is contained in a larger group given by a set of Picard-Lefschetz transformations. This leads to elements in the g...
متن کاملToric Duality, Seiberg Duality and Picard-Lefschetz Transformations
Toric Duality arises as an ambiguity in computing the quiver gauge theory living on a D3-brane which probes a toric singularity. It is reviewed how, in simple cases Toric Duality is Seiberg Duality. The set of all Seiberg Dualities on a single node in the quiver forms a group which is contained in a larger group given by a set of Picard-Lefschetz transformations. This leads to elements in the g...
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ژورنال
عنوان ژورنال: Selecta Mathematica
سال: 1995
ISSN: 1022-1824,1420-9020
DOI: 10.1007/bf01589499