Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces (Progress in Mathematics, #122)

by Victor Guillemin

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The action of a compact Lie group, G, on a compact sympletic manifold gives rise to some remarkable combinatorial invariants. The simplest and most interesting of these is the moment polytopes, a convex polyhedron which sits inside the dual of the Lie algebra of G. One of the main goals of this monograph is to describe what kinds of geometric information are encoded in this polytope. This book is addressed to researchers and can be used as a semester text.

  • ISBN13 9780817637705
  • Publish Date 1 December 1994 (first published November 1994)
  • Publish Status Active
  • Publish Country US
  • Imprint Birkhauser Boston Inc
  • Edition 1994 ed.
  • Format Hardcover
  • Pages 152
  • Language English