How Long to Read Spectral Invariants with Bulk, Quasi-Morphisms and Lagrangian Floer Theory

How Long Does it Take to Read Spectral Invariants with Bulk, Quasi-Morphisms and Lagrangian Floer Theory?

It takes the average reader 4 hours and 32 minutes to read Spectral Invariants with Bulk, Quasi-Morphisms and Lagrangian Floer Theory by Kenji Fukaya

Assuming a reading speed of 250 words per minute. Learn more

Description

In this paper the authors first develop various enhancements of the theory of spectral invariants of Hamiltonian Floer homology and of Entov-Polterovich theory of spectral symplectic quasi-states and quasi-morphisms by incorporating bulk deformations, i.e., deformations by ambient cycles of symplectic manifolds, of the Floer homology and quantum cohomology. Essentially the same kind of construction is independently carried out by Usher in a slightly less general context. Then the authors explore various applications of these enhancements to the symplectic topology, especially new construction of symplectic quasi-states, quasi-morphisms and new Lagrangian intersection results on toric and non-toric manifolds. The most novel part of this paper is its use of open-closed Gromov-Witten-Floer theory and its variant involving closed orbits of periodic Hamiltonian system to connect spectral invariants (with bulk deformation), symplectic quasi-states, quasi-morphism to the Lagrangian Floer theory (with bulk deformation). The authors use this open-closed Gromov-Witten-Floer theory to produce new examples. Using the calculation of Lagrangian Floer cohomology with bulk, they produce examples of compact symplectic manifolds which admits uncountably many independent quasi-morphisms . They also obtain a new intersection result for the Lagrangian submanifold in .

How long is Spectral Invariants with Bulk, Quasi-Morphisms and Lagrangian Floer Theory?

Spectral Invariants with Bulk, Quasi-Morphisms and Lagrangian Floer Theory by Kenji Fukaya is 266 pages long, and a total of 68,096 words.

This makes it 90% the length of the average book. It also has 83% more words than the average book.

How Long Does it Take to Read Spectral Invariants with Bulk, Quasi-Morphisms and Lagrangian Floer Theory Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 12 minutes to read Spectral Invariants with Bulk, Quasi-Morphisms and Lagrangian Floer Theory aloud.

What Reading Level is Spectral Invariants with Bulk, Quasi-Morphisms and Lagrangian Floer Theory?

Spectral Invariants with Bulk, Quasi-Morphisms and Lagrangian Floer Theory is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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