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This book contains contributions from a workshop on topology and
geometry of polymers, held at the IMA in June 1996, which brought
together topologists, combinatorialists, theoretical physicists and
polymer scientists, with a common interest in polymer topology.
Polymers can be highly self-entangled even in dilute solution. In
the melt the inter- and intra-chain entanglements can dominate the
rheological properties of these phenomena. Although the possibility
of knotting in ring polymers has been recognized for more than
thirty years it is only recently that the powerful methods of
algebraic topology have been used in treating models of polymers.
This book contains a series of chapters which review the current
state of the field and give an up to date account of what is known
and perhaps more importantly, what is still unknown. The field
abounds with open problems. The book is of interest to workers in
polymer statistical mechanics but will also be useful as an
introduction to topological methods for polymer scientists, and
will introduce mathematicians to an area of science where
topological approaches are making a substantial contribution.
This book contains contributions from a workshop on topology and
geometry of polymers, held at the IMA in June 1996, which brought
together topologists, combinatorialists, theoretical physicists and
polymer scientists, with a common interest in polymer topology.
Polymers can be highly self-entangled even in dilute solution. In
the melt the inter- and intra-chain entanglements can dominate the
rheological properties of these phenomena. Although the possibility
of knotting in ring polymers has been recognized for more than
thirty years it is only recently that the powerful methods of
algebraic topology have been used in treating models of polymers.
This book contains a series of chapters which review the current
state of the field and give an up to date account of what is known
and perhaps more importantly, what is still unknown. The field
abounds with open problems. The book is of interest to workers in
polymer statistical mechanics but will also be useful as an
introduction to topological methods for polymer scientists, and
will introduce mathematicians to an area of science where
topological approaches are making a substantial contribution.
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