How Long to Read Morse Theory and Floer Homology

How Long Does it Take to Read Morse Theory and Floer Homology?

It takes the average reader 10 hours and 10 minutes to read Morse Theory and Floer Homology by Michèle Audin

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

Description

This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1-periodic trajectories of a non-degenerate Hamiltonian system is bounded below by the dimension of the homology of the underlying manifold. The first part is a thorough introduction to Morse theory, a fundamental tool of differential topology. It defines the Morse complex and the Morse homology, and develops some of their applications. Morse homology also serves a simple model for Floer homology, which is covered in the second part. Floer homology is an infinite-dimensional analogue of Morse homology. Its involvement has been crucial in the recent achievements in symplectic geometry and in particular in the proof of the Arnold conjecture. The building blocks of Floer homology are more intricate and imply the use of more sophisticated analytical methods, all of which are explained in this second part. The three appendices present a few prerequisites in differential geometry, algebraic topology and analysis. The book originated in a graduate course given at Strasbourg University, and contains a large range of figures and exercises. Morse Theory and Floer Homology will be particularly helpful for graduate and postgraduate students.

How long is Morse Theory and Floer Homology?

Morse Theory and Floer Homology by Michèle Audin is 596 pages long, and a total of 152,576 words.

This makes it 201% the length of the average book. It also has 186% more words than the average book.

How Long Does it Take to Read Morse Theory and Floer Homology Aloud?

The average oral reading speed is 183 words per minute. This means it takes 13 hours and 53 minutes to read Morse Theory and Floer Homology aloud.

What Reading Level is Morse Theory and Floer Homology?

Morse Theory and Floer Homology 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.

Where Can I Buy Morse Theory and Floer Homology?

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