منابع مشابه
Topological Quantum Field Theory
A twisted version of four dimensional supersymmetric gauge theory is formulated. The model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent developments in topology of low dimensional manifolds; the Donaldson polynomial invariants of four manifolds and the Floer groups of three manifolds appear naturally. The model may also be interesting from a physical vie...
متن کاملAxiomatic Topological Quantum Field Theory
This dissertation provides an introduction to the ideas employed in topological quantum field theory. We illustrate how the field began by considering knot invariants of three-manifolds and demonstrating the consequences of defining such a theory axiomatically. The ideas of category theory are introduced and we show that what we are actually concerned with are symmetric monoidal functors from t...
متن کاملQuantum Gravity as Topological Quantum Field Theory
The physics of quantum gravity is discussed within the framework of topological quantum field theory. Some of the principles are illustrated with examples taken from theories in which space-time is three dimensional.
متن کاملNotes on Topological Quantum Field Theory
These notes are meant to provide an introduction to topological quantum field theory for mathematicians. Topics include applications of Chern-Simons theory to the study of knots and Atiyah’s definition of a topological quantum field theory. We also include a self-contained introduction to Yang-Mills theory for physical motivation.
متن کاملTopological quantum field theory and hyperkähler geometry
where we regardX as a complex manifold with respect to some choice of complex structure compatible with the hyperkähler metric (precisely how these spaces depend on this choice is a subtle matter). ForX a K3 surface, Rozansky and Witten investigated the cases g = 0 and g = 1, and exhibited an action of the mapping class group in the latter case. There is a modified TQFT constructed by Murakami ...
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: Communications in Analysis and Geometry
سال: 1996
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.1996.v4.n4.a3