Tsuyoshi Kato received his Ph.D. from Kyoto University in 1995. He is currently a Professor of Mathematics at Kyoto University.
Nobuhiro Nakamura received his Ph.D. from Kyoto University in 2006. He is currently a Professor of Mathematics at Fukushima Medical University.
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Monopole Maps and L² -cohomology
Tsuyoshi Kato
The theme of this book is to establish a link between gauge theory and L²-cohomology theory. Although both theories focus on differential topology, they have been developed rather independently. One of the main reasons lies in the differing characteristics of these theories. This book introduces an integrated theory that bridges these subjects. One goal of the book is to propose differential-topological conjectures that are covering versions of the so-called 10/8-theorem....
