This monograph uses braids to explore dynamics on surfaces, with an eye towards applications to mixing in fluids. The text uses the particular example of taffy pulling devices to represent pseudo-Anosov maps in practice. In addition, its final chapters also briefly discuss curre…
This monograph uses braids to explore dynamics on surfaces, with an eye towards applications to mixing in fluids. The text uses the particular example of taffy pulling devices to represent pseudo-Anosov maps in practice. In addition, its final chapters also briefly discuss curre…
"Everyone knows what braids are, whether they be made of hair, knitting wool, or electrical cables. However, it is not at all evident that we can construct a theory about them, that is, elaborate a coherent and mathematically interesting corpus of results concerning them. Our go…
"Everyone knows what braids are, whether they be made of hair, knitting wool, or electrical cables. However, it is not at all evident that we can construct a theory about them, that is, elaborate a coherent and mathematically interesting corpus of results concerning them. Our go…
Everyone knows what braids are, whether they be made of hair, knitting wool, or electrical cables. However, it is not so evident that we can construct a theory about them, i.e. to elaborate a coherent and mathematically interesting corpus of results concerning them. This book de…
"Everyone knows what braids are, whether they be made of hair, knitting wool, or electrical cables. However, it is not at all evident that we can construct a theory about them, that is, elaborate a coherent and mathematically interesting corpus of results concerning them. Our go…
"Everyone knows what braids are, whether they be made of hair, knitting wool, or electrical cables. However, it is not at all evident that we can construct a theory about them, that is, elaborate a coherent and mathematically interesting corpus of results concerning them. Our go…
The relationships between the conjugate classes of 3-braids and the link types of their closure are investigated, and it is shown that the product link type of closed pure 3-braid is determined by its conjugate class.
"This book is a self-contained introduction to braid foliation techniques, which is a theory developed to study knots, links and surfaces in general 3-manifolds and more specifically in contact 3-manifolds. With style and content accessible to beginning students interested in ge…
This book is a self-contained introduction to braid foliation techniques, which is a theory developed to study knots, links and surfaces in general 3-manifolds and more specifically in contact 3-manifolds. With style and content accessible to beginning students interested in geo…
