Generic Jumps of Fredholm Indices and the Quantum Hall Effect
نویسنده
چکیده
We describe the generic behavior of Fredholm indices in the space of Toeplitz operators. We relate this behavior to certain conjectures and open problems that arise in the context of the Quantum Hall Effect.
منابع مشابه
Quantum Hall Systems
The quantized Hall conductance in a plateau is related to the index of a Fredholm operator. In this paper we describe the generic “phase diagram” of Fredholm indices associated with bounded and Toeplitz operators. We discuss the possible relevance of our results to the phase diagram of disordered integer quantum Hall systems. The Hall conductance of Integer Quantum Hall systems is described mat...
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