000 | 03162cam a2200517 i 4500 | ||
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001 | on1242021766 | ||
003 | OCoLC | ||
005 | 20240409130607.0 | ||
008 | 210305t20212021riua f b 001 0 eng | ||
010 | _a 2021004452 | ||
015 |
_aGBC1B7922 _2bnb |
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016 | 7 |
_a020272262 _2Uk |
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020 |
_a9781470456740 _qhardcover |
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020 |
_a1470456745 _qhardcover |
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020 |
_a9781470469580 _qsoftcover |
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020 |
_a1470469588 _qsoftcover |
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020 |
_z9781470465636 _qelectronic book |
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029 | 1 |
_aUKMGB _b020272262 |
|
029 | 1 |
_aAU@ _b000068906547 |
|
035 | _a(OCoLC)1242021766 | ||
040 |
_aDLC _beng _erda _cDLC |
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042 | _apcc | ||
082 | 0 | 0 |
_a514.23 _bB894a |
084 |
_a18G40 _a55N34 _a55N35 _a55P42 _a55P43 _a55Q45 _a55Q51 _a55T05 _a55T15 _2msc |
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090 | _atop | ||
100 | 1 |
_aBruner, R. R. _q(Robert Ray), _d1950- _eauthor. _942307 |
|
245 | 1 | 4 |
_aThe Adams spectral sequence for topological modular forms / _cRobert R. Bruner, John Rognes. |
264 | 1 |
_aProvidence, Rhode Island : _bAmerican Mathematical Society, _c[2021] |
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264 | 4 | _c©2021 | |
300 |
_axix, 690 pages : _billustrations (some color) ; _c26 cm. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_aunmediated _bn _2rdamedia |
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338 |
_avolume _bnc _2rdacarrier |
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490 | 1 |
_aMathematical surveys and monographs, _x0076-5376 ; _vVolume 253 |
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504 | _aIncludes bibliographical references (pages 675-682) and index. | ||
520 |
_a"The connective topological modular forms spectrum, tmf, is in a sense initial among elliptic spectra, and as such is an important link between the homotopy groups of spheres and modular forms. A primary goal of this volume is to give a complete account, with full proofs, of the homotopy of tmf and several tmf-module spectra by means of the classical Adams spectral sequence, thus verifying, correcting, and extending existing approaches. In the process, folklore results are made precise and generalized. Anderson and Brown-Comenetz duality, and the corresponding dualities in homotopy groups, are carefully proved. The volume also includes an account of the homotopy groups of spheres through degree 44, with complete proofs, except that the Adams conjecture is used without proof. Also presented are modern stable proofs of classical results which are hard to extract from the literature. Tools used in this book include a multiplicative spectral sequence generalizing a construction of Davis and Mahowald, and computer software which computes the cohomology of modules over the Steenrod algebra and products therein. Techniques from commutative algebra are used to make the calculation precise and finite. The H∞ ring structure of the sphere and of tmf are used to determine many differentials and relations." _cProvided by publisher. |
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650 | 0 |
_aAlgebra, Homological. _943544 |
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650 | 0 |
_aHomology theory. _943696 |
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650 | 0 |
_aAdams spectral sequences. _936980 |
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697 |
_940 _aTopologia |
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700 | 1 |
_aRognes, John, _eauthor. _92099 |
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830 | 0 |
_aMathematical surveys and monographs ; _vno. 253. _x0076-5376 _940346 |
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942 |
_2ddc _cBK _n0 |
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948 | _hNO HOLDINGS IN P5A - 85 OTHER HOLDINGS | ||
999 |
_c39846 _d39846 |