How Long to Read Generalized Symplectic Geometries and the Index of Families of Elliptic Problems
By Liviu I. Nicolaescu
How Long Does it Take to Read Generalized Symplectic Geometries and the Index of Families of Elliptic Problems?
It takes the average reader 1 hour and 41 minutes to read Generalized Symplectic Geometries and the Index of Families of Elliptic Problems by Liviu I. Nicolaescu
Assuming a reading speed of 250 words per minute. Learn more
Description
In this book, an index theorem is proved for arbitrary families of elliptic boundary value problems for Dirac operators and a surgery formula for the index of a family of Dirac operators on a closed manifold. Also obtained is a very general result on the cobordism invariance of the index of a family. All results are established by first symplectically rephrasing the problems and then using a generalized symplectic reduction technique. This provides a unified approach to all possible parameter spaces and all possible symmetries of a Dirac operator (eigh symmetries in the real case and two in the complex case). This text will also be of interest to those working in geometry and topology.
How long is Generalized Symplectic Geometries and the Index of Families of Elliptic Problems?
Generalized Symplectic Geometries and the Index of Families of Elliptic Problems by Liviu I. Nicolaescu is 98 pages long, and a total of 25,284 words.
This makes it 33% the length of the average book. It also has 31% more words than the average book.
How Long Does it Take to Read Generalized Symplectic Geometries and the Index of Families of Elliptic Problems Aloud?
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 18 minutes to read Generalized Symplectic Geometries and the Index of Families of Elliptic Problems aloud.
What Reading Level is Generalized Symplectic Geometries and the Index of Families of Elliptic Problems?
Generalized Symplectic Geometries and the Index of Families of Elliptic Problems is suitable for students ages 10 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 Generalized Symplectic Geometries and the Index of Families of Elliptic Problems?
Generalized Symplectic Geometries and the Index of Families of Elliptic Problems by Liviu I. Nicolaescu is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.
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