Bifurcation for odd potential operators and an alternative topological index

Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems

“…It appears also in Conner-Floyd [4] • where it is denoted by co_ Index~ X and also in Hoim-Spannier [5] . 2 An alterna tive development which includes a variant form of the "piercing pro perty " (Propo sition 3.9) along with an application to a bifurcation theorem is contained in [1] .…”

“…In another work [1] the authors employed a cohomological index (see also Yang [Z ,3], Conner-Floy d [4] and Hoim-Spanier [5]) in place of the usual notion of genus [6 , 7] which is useful In symmetric situations with the group of symmetry being Z 2 , e . g .…”

“…d restricted category, to the cohomological index of Yang [~, 3 j . This is the index employed in [1] and it is designated in Conner-Floyd [4] by co-index,,, X . In Section 5 we reformulate the theory in the setting of a (~J z normed linear space 3 over IF using the notion tndex~,X = index F X + 1…”

“…In our earlier paper [1] , the index theory given there ( for a free and Moser [11] fro m another point of view . While completing the final -draft of this paper , we learned of the work of Chow and Ma llet-Paret [12 ] who also observed that the methods of [1] can be applied as we do in §8…”

“…While completing the final -draft of this paper , we learned of the work of Chow and Ma llet-Paret [12 ] who also observed that the methods of [1] can be applied as we do in §8…”