The flow category of the action functional on $\mathcal{L}G_{N,N+K}(\mathbb{C})$
Hurtubise, David E.
Illinois J. Math., Tome 44 (2000) no. 4, p. 33-50 / Harvested from Project Euclid
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The flow category of a Morse-Bott-Smale function $f_{A}:G_{n}(\mathbb{C}^{\infty}) \rightarrow \mathbb{R}$ is shown to be related to the flow category of the action functional on the universal cover of $\mathcal{L}G_{n,n+k}(\mathbb{C})$ via a group action. The Floer homotopy type and the associated cohomology ring of $f_{A}:G_{n}(\mathbb{C}) \rightarrow \mathbb{R}$ are computed. When $n = 1$ this cohomology ring is the Floer cohomology of $G_{1,1+k}(\mathbb{C})$.
Publié le : 2000-03-15
Classification:  57R58,  55P15 
@article{1255984952,
     author = {Hurtubise, David E.},
     title = {The flow category of the action functional on $\mathcal{L}G\_{N,N+K}(\mathbb{C})$},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 33-50},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255984952}
}

Hurtubise, David E. The flow category of the action functional on $\mathcal{L}G_{N,N+K}(\mathbb{C})$. Illinois J. Math., Tome 44 (2000) no. 4, pp.  33-50. http://gdmltest.u-ga.fr/item/1255984952/