'The book is an engaging and influential collection of significant
contributions from an assembly of world expert leaders and pioneers
from different fields, working at the interface between topology
and physics or applications of topology to physical systems ... The
book explores many interesting and novel topics that lie at the
intersection between gravity, quantum fields, condensed matter,
physical cosmology and topology ... A rich, well-organized, and
comprehensive overview of remarkable and insightful connections
between physics and topology is here made available to the physics
reader.'Contemporary PhysicsSince its birth in Poincare's seminal
1894 'Analysis Situs', topology has become a cornerstone of
mathematics. As with all beautiful mathematical concepts, topology
inevitably - resonating with that Wignerian principle of the
effectiveness of mathematics in the natural sciences - finds its
prominent role in physics. From Chern-Simons theory to topological
quantum field theory, from knot invariants to Calabi-Yau
compactification in string theory, from spacetime topology in
cosmology to the recent Nobel Prize winning work on topological
insulators, the interactions between topology and physics have been
a triumph over the past few decades.In this eponymous volume, we
are honoured to have contributions from an assembly of grand
masters of the field, guiding us with their world-renowned
expertise on the subject of the interplay between 'Topology' and
'Physics'. Beginning with a preface by Chen Ning Yang on his
recollections of the early days, we proceed to a novel view of
nuclei from the perspective of complex geometry by Sir Michael
Atiyah and Nick Manton, followed by an entree toward recent
developments in two-dimensional gravity and intersection theory on
the moduli space of Riemann surfaces by Robbert Dijkgraaf and
Edward Witten; a study of Majorana fermions and relations to the
Braid group by Louis H Kauffman; a pioneering investigation on
arithmetic gauge theory by Minhyong Kim; an anecdote-enriched
review of singularity theorems in black-hole physics by Sir Roger
Penrose; an adventure beyond anyons by Zhenghan Wang; an apercu on
topological insulators from first-principle calculations by Haijun
Zhang and Shou-Cheng Zhang; finishing with synopsis on quantum
information theory as one of the four revolutions in physics and
the second quantum revolution by Xiao-Gang Wen. We hope that this
book will serve to inspire the research community.
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