Comparison of spectral invariants in Lagrangian and Hamiltonian Floer theory
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2014
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| _version_ | 1866912073562193920 |
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| author | Đuretić, Jovana Katić, Jelena Milinković, Darko |
| author_facet | Đuretić, Jovana Katić, Jelena Milinković, Darko |
| contents | We compare spectral invariants in periodical orbits and Lagrangian Floer homology case, for closed symplectic manifold $P$ and its closed Lagrangian submanifolds $L$, when $ω|_{π_2(P,L)}=0$, and $μ|_{π_2(P,L)}=0$. From this result, we derive a corollary considering comparison of Hofer's distance in periodic orbits and Lagrangian case. We also define a product $HF_*(H)\otimes HF_*(L,ϕ^1_H(L))\to HF_*(L,ϕ^1_H(L))$ and prove subadditivity of invariants with respect to this product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1403_6317 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Comparison of spectral invariants in Lagrangian and Hamiltonian Floer theory Đuretić, Jovana Katić, Jelena Milinković, Darko Symplectic Geometry We compare spectral invariants in periodical orbits and Lagrangian Floer homology case, for closed symplectic manifold $P$ and its closed Lagrangian submanifolds $L$, when $ω|_{π_2(P,L)}=0$, and $μ|_{π_2(P,L)}=0$. From this result, we derive a corollary considering comparison of Hofer's distance in periodic orbits and Lagrangian case. We also define a product $HF_*(H)\otimes HF_*(L,ϕ^1_H(L))\to HF_*(L,ϕ^1_H(L))$ and prove subadditivity of invariants with respect to this product. |
| title | Comparison of spectral invariants in Lagrangian and Hamiltonian Floer theory |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/1403.6317 |