000 03088nam a22005295i 4500
001 978-3-642-15637-3
003 DE-He213
005 20140220083747.0
007 cr nn 008mamaa
008 101126s2011 gw | s |||| 0|eng d
020 _a9783642156373
_9978-3-642-15637-3
024 7 _a10.1007/978-3-642-15637-3
_2doi
050 4 _aQA611-614.97
072 7 _aPBP
_2bicssc
072 7 _aMAT038000
_2bisacsh
082 0 4 _a514
_223
100 1 _aBanagl, Markus.
_eeditor.
245 1 4 _aThe Mathematics of Knots
_h[electronic resource] :
_bTheory and Application /
_cedited by Markus Banagl, Denis Vogel.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aX, 357 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aContributions in Mathematical and Computational Sciences ;
_v1
505 0 _aPreface -- 1 Knots, Singular Embeddings, and Monodromy -- 2 Lower Bounds on Virtual Crossing Number and Minimal Surface Genus -- 3 A Survey of Twisted Alexander Polynomials -- 4 On Two Categorifications of the Arrow Polynomial for Virtual Knots -- 5 An Adelic Extension of the Jones Polynomial -- 6 Legendrian Grid Number One Knots and Augmentations of their Differential Algebras -- 7 Embeddings of Four-Valent Framed Graphs into 2-Surfaces -- 8 Geometric Topology and Field Theory on 3-Manifolds -- 9 From Goeritz Matrices to Quasi-Alternating Links -- 10 An Overview of Property 2R -- 11 DNA, Knots and Tangles.
520 _aThe present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers bring the reader up to date on the currently most actively pursued areas of mathematical knot theory and its applications in mathematical physics and cell biology. Both original research and survey articles are presented; numerous illustrations support the text. The book will be of great interest to researchers in topology, geometry, and mathematical physics, graduate students specializing in knot theory, and cell biologists interested in the topology of DNA strands.
650 0 _aMathematics.
650 0 _aPhysiology
_xMathematics.
650 0 _aGlobal differential geometry.
650 0 _aTopology.
650 0 _aCell aggregation
_xMathematics.
650 1 4 _aMathematics.
650 2 4 _aTopology.
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
650 2 4 _aDifferential Geometry.
650 2 4 _aPhysiological, Cellular and Medical Topics.
650 2 4 _aNumerical and Computational Physics.
700 1 _aVogel, Denis.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642156366
830 0 _aContributions in Mathematical and Computational Sciences ;
_v1
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-15637-3
912 _aZDB-2-SMA
999 _c107072
_d107072