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arXiv · 1403.6317

Comparison of spectral invariants in Lagrangian and Hamiltonian Floer theory

Jovana Đuretić·Jelena Katić·Darko Milinković
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Abstract

We compare spectral invariants in periodical orbits and Lagrangian Floer homology case, for closed symplectic manifold $P$ and its closed Lagrangian submanifolds $L$, when $\omega|_{\pi_2(P,L)}=0$, and $\mu|_{\pi_2(P,L)}=0$. From this result, we derive a corollary considering comparison of Hofer's distance in periodic orbits and Lagrangian case. We also define a product $HF_*(H)\otimes HF_*(L,\phi^1_H(L))\to HF_*(L,\phi^1_H(L))$ and prove subadditivity of invariants with respect to this product.

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Jovana Đuretić, Jelena Katić, Darko Milinković. 2014-03-25. Comparison of spectral invariants in Lagrangian and Hamiltonian Floer theory. https://arxiv.org/abs/1403.6317

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