Enumerative Invariants In Algebraic Geometry And String Theory: Lectures Given At The C.i.m.e. Summer School Held In Cetraro, Italy, June 6-11, 2005 ... Mathematics / C.i.m.e. Foundation Subseries)
by Ravi Vakil /
2008 / English / DjVu
1.8 MB Download
Starting in the middle of the 80s, there has been a growing and
fruitful interaction between algebraic geometry and certain areas
of theoretical high-energy physics, especially the various versions
of string theory. Physical heuristics have provided inspiration for
new mathematical definitions (such as that of Gromov-Witten
invariants) leading in turn to the solution of problems in
enumerative geometry. Conversely, the availability of
mathematically rigorous definitions and theorems has benefited the
physics research by providing the required evidence in fields where
experimental testing seems problematic. The aim of this volume, a
result of the CIME Summer School held in Cetraro, Italy, in 2005,
is to cover part of the most recent and interesting findings in
this subject.
Starting in the middle of the 80s, there has been a growing and
fruitful interaction between algebraic geometry and certain areas
of theoretical high-energy physics, especially the various versions
of string theory. Physical heuristics have provided inspiration for
new mathematical definitions (such as that of Gromov-Witten
invariants) leading in turn to the solution of problems in
enumerative geometry. Conversely, the availability of
mathematically rigorous definitions and theorems has benefited the
physics research by providing the required evidence in fields where
experimental testing seems problematic. The aim of this volume, a
result of the CIME Summer School held in Cetraro, Italy, in 2005,
is to cover part of the most recent and interesting findings in
this subject.