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The τ‐function of the universal whitham hierarchy, matrix models and topological field theories
Author(s) -
Krichever I. M.
Publication year - 1994
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160470403
Subject(s) - hierarchy , mathematics , field (mathematics) , topology (electrical circuits) , matrix (chemical analysis) , function (biology) , topological quantum field theory , pure mathematics , topological quantum number , algebraic number , mathematical analysis , physics , combinatorics , quantum mechanics , materials science , evolutionary biology , economics , market economy , composite material , biology
The universal Whitham hierarchy is considered from the viewpoint of topological field theories. The τ‐function is defined for this hierarchy. It is proved that the algebraic orbits of Whitham hierarchy can be identified with various topological matter models coupled with topological gravity. © 1994 John Wiley & Sons, Inc.