000 | 03413nam a22005535i 4500 | ||
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001 | 978-3-540-71807-9 | ||
003 | DE-He213 | ||
005 | 20190213151116.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2007 gw | s |||| 0|eng d | ||
020 |
_a9783540718079 _9978-3-540-71807-9 |
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024 | 7 |
_a10.1007/978-3-540-71807-9 _2doi |
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050 | 4 | _aQA613-613.8 | |
050 | 4 | _aQA613.6-613.66 | |
072 | 7 |
_aPBMS _2bicssc |
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072 | 7 |
_aMAT038000 _2bisacsh |
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072 | 7 |
_aPBMS _2thema |
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072 | 7 |
_aPBPH _2thema |
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082 | 0 | 4 |
_a514.34 _223 |
100 | 1 |
_aAkiyoshi, Hirotaka. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aPunctured Torus Groups and 2-Bridge Knot Groups (I) _h[electronic resource] / _cby Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada, Yasushi Yamashita. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2007. |
|
300 |
_aXLIII, 256 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1909 |
|
505 | 0 | _aJorgensen's picture of quasifuchsian punctured torus groups -- Fricke surfaces and PSL(2, ?)-representations -- Labeled representations and associated complexes -- Chain rule and side parameter -- Special examples -- Reformulation of Main Theorem 1.3.5 and outline of the proof -- Openness -- Closedness -- Algebraic roots and geometric roots. | |
520 | _aThis monograph is Part 1 of a book project intended to give a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization, with application to knot theory. Although Jorgensen's original work was not published in complete form, it has been a source of inspiration. In particular, it has motivated and guided Thurston's revolutionary study of low-dimensional geometric topology. In this monograph, we give an elementary and self-contained description of Jorgensen's theory with a complete proof. Through various informative illustrations, readers are naturally led to an intuitive, synthetic grasp of the theory, which clarifies how a very simple fuchsian group evolves into complicated Kleinian groups. | ||
650 | 0 |
_aCell aggregation _xMathematics. |
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650 | 0 | _aFunctions of complex variables. | |
650 | 0 | _aGroup theory. | |
650 | 1 | 4 |
_aManifolds and Cell Complexes (incl. Diff.Topology). _0http://scigraph.springernature.com/things/product-market-codes/M28027 |
650 | 2 | 4 |
_aFunctions of a Complex Variable. _0http://scigraph.springernature.com/things/product-market-codes/M12074 |
650 | 2 | 4 |
_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078 |
700 | 1 |
_aSakuma, Makoto. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aWada, Masaaki. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aYamashita, Yasushi. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540837169 |
776 | 0 | 8 |
_iPrinted edition: _z9783540718062 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1909 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-71807-9 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c9540 _d9540 |