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Branes are solitonic configurations of a string theory that are
represented by extended objects in a higher-dimensional space-time.
They are essential for a comprehension of the non-perturbative
aspects of string theory, in particular, in connection with string
dualities. From the mathematical viewpoint, branes are related to
several important theories, such as homological mirror symmetry and
quantum cohomology.
Geometry and Physics of Branes provides an introduction to current
research in some of these different areas, both in physics and
mathematics. The book opens with a lucid introduction to the basic
aspects of branes in string theory. Topics covered in subsequent
chapters include tachyon condensation, the geometry surrounding the
Gopakumar-Vafa conjecture (a duality between the SU(N) Chern-Simons
theory on S3 and a IIA string theory compactified on a Calabi-Yau
3-fold), two-dimensional conformal field theory on open and
unoriented surfaces, and the development of a homology theory
naturally attached to the deformations of vector bundles that
should be relevant to the study of homological mirror symmetry.
'Et moi, ... si favait III mmment en revenir, One service
mathematics has rendered the je n'y serais point aile: ' human
race. It has put CXlUImon sense back Iules Verne where it belongs.
on the topmost shelf next to the dUlty canister lahelled 'discarded
non- The series i. divergent; therefore we may be able to do
something with it. Eric T. Bell O. Hesvi.ide Mathematics is a tool
for thOUght. A highly necessary tool in a world where both feedback
and non linearities abound. Similarly, all kinds of parts of
mathematics serve as tools for other parts and for other sciences.
Applying a simple rewriting rule to the quote on the right above
one finds such statements as: 'One service topology has rendered
mathematical physics .. .'; 'One service logic has rendered com
puter science .. .'; 'One service category theory has rendered
mathematics .. .'. All arguably true. And all statements obtainable
this way form part of the raison d't tre of this series."
'Et moi, ... si favait III mmment en revenir, One service
mathematics has rendered the je n'y serais point aile: ' human
race. It has put CXlUImon sense back Iules Verne where it belongs.
on the topmost shelf next to the dUlty canister lahelled 'discarded
non- The series i. divergent; therefore we may be able to do
something with it. Eric T. Bell O. Hesvi.ide Mathematics is a tool
for thOUght. A highly necessary tool in a world where both feedback
and non linearities abound. Similarly, all kinds of parts of
mathematics serve as tools for other parts and for other sciences.
Applying a simple rewriting rule to the quote on the right above
one finds such statements as: 'One service topology has rendered
mathematical physics .. .'; 'One service logic has rendered com
puter science .. .'; 'One service category theory has rendered
mathematics .. .'. All arguably true. And all statements obtainable
this way form part of the raison d't tre of this series."
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