Equivariant Morse equation

Marcin Styborski

Open Mathematics (2012)

  • Volume: 10, Issue: 6, page 2138-2159
  • ISSN: 2391-5455

Abstract

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The paper is concerned with the Morse equation for flows in a representation of a compact Lie group. As a consequence of this equation we give a relationship between the equivariant Conley index of an isolated invariant set of the flow given by .x = −∇f(x) and the gradient equivariant degree of ∇f. Some multiplicity results are also presented.

How to cite

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Marcin Styborski. "Equivariant Morse equation." Open Mathematics 10.6 (2012): 2138-2159. <http://eudml.org/doc/269047>.

@article{MarcinStyborski2012,
abstract = {The paper is concerned with the Morse equation for flows in a representation of a compact Lie group. As a consequence of this equation we give a relationship between the equivariant Conley index of an isolated invariant set of the flow given by .x = −∇f(x) and the gradient equivariant degree of ∇f. Some multiplicity results are also presented.},
author = {Marcin Styborski},
journal = {Open Mathematics},
keywords = {Morse equation; Conley index; Equivariant gradient degree; Critical orbit; Group action; Poincaré polynomial; Euler ring; equivariant gradient degree; critical orbit},
language = {eng},
number = {6},
pages = {2138-2159},
title = {Equivariant Morse equation},
url = {http://eudml.org/doc/269047},
volume = {10},
year = {2012},
}

TY - JOUR
AU - Marcin Styborski
TI - Equivariant Morse equation
JO - Open Mathematics
PY - 2012
VL - 10
IS - 6
SP - 2138
EP - 2159
AB - The paper is concerned with the Morse equation for flows in a representation of a compact Lie group. As a consequence of this equation we give a relationship between the equivariant Conley index of an isolated invariant set of the flow given by .x = −∇f(x) and the gradient equivariant degree of ∇f. Some multiplicity results are also presented.
LA - eng
KW - Morse equation; Conley index; Equivariant gradient degree; Critical orbit; Group action; Poincaré polynomial; Euler ring; equivariant gradient degree; critical orbit
UR - http://eudml.org/doc/269047
ER -

References

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