Relevant bibliographies by topics / Adams spectral sequence

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  2. Dissertations / Theses
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Academic literature on the topic 'Adams spectral sequence'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Adams spectral sequence"

1

Ormsby, Kyle M. "Motivic invariants of p-adic fields." Journal of K-theory 7, no. 3 (2011): 597–618. http://dx.doi.org/10.1017/is011004017jkt153.

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AbstractWe provide a complete analysis of the motivic Adams spectral sequences converging to the bigraded coefficients of the 2-complete algebraic Johnson-Wilson spectra BPGL〈n〉 over p-adic fields. These spectra interpolate between integral motivic cohomology (n = 0), a connective version of algebraic K-theory (n = 1), and the algebraic Brown-Peterson spectrum (n = ∞). We deduce that, over p-adic fields, the 2-complete BPGL〈n〉 splits over 2-complete BPGL〈0〉, implying that the slice spectral sequence for BPGL collapses.This is the first in a series of two papers investigating motivic invariants
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Lellmann, Wolfgang, and Mark Mahowald. "The bo-Adams Spectral Sequence." Transactions of the American Mathematical Society 300, no. 2 (1987): 593. http://dx.doi.org/10.2307/2000359.

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Dugger, Daniel, and Daniel C. Isaksen. "The motivic Adams spectral sequence." Geometry & Topology 14, no. 2 (2010): 967–1014. http://dx.doi.org/10.2140/gt.2010.14.967.

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Burklund, Robert, and Piotr Pstrągowski. "Quivers and the Adams spectral sequence." Advances in Mathematics 471 (June 2025): 110270. https://doi.org/10.1016/j.aim.2025.110270.

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Wang, Yuyu, and Jianbo Wang. "The Convergence of Some Products in the Adams Spectral Sequence." MATHEMATICA SCANDINAVICA 117, no. 2 (2015): 304. http://dx.doi.org/10.7146/math.scand.a-22871.

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In this paper, we will use the family of homotopy elements $\zeta_n\in\pi_*S$, represented by $h_0b_n\in \operatorname{Ext}_A^{3,p^{n+1} q+q}(\mathsf{Z}_p, \mathsf{Z}_p)$ in the Adams spectral sequence, to detect a $\zeta_n$-related family $\gamma_{s+3}\beta_2\zeta_{n-1}$ in $\pi_*S$. Our main methods are the Adams spectral sequence and the May spectral sequence, here prime $p\geq 7$, $n>3$, $q=2(p-1)$.
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Culver, Dominic Leon, and Paul VanKoughnett. "On the K(1)-local homotopy of $$\mathrm {tmf}\wedge \mathrm {tmf}$$." Journal of Homotopy and Related Structures 16, no. 3 (2021): 367–426. http://dx.doi.org/10.1007/s40062-021-00283-7.

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AbstractAs a step towards understanding the $$\mathrm {tmf}$$ tmf -based Adams spectral sequence, we compute the K(1)-local homotopy of $$\mathrm {tmf}\wedge \mathrm {tmf}$$ tmf ∧ tmf , using a small presentation of $$L_{K(1)}\mathrm {tmf}$$ L K ( 1 ) tmf due to Hopkins. We also describe the K(1)-local $$\mathrm {tmf}$$ tmf -based Adams spectral sequence.
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Baker, Andrew, and Andrey Lazarev. "On the Adams spectral sequence forR–modules." Algebraic & Geometric Topology 1, no. 1 (2001): 173–99. http://dx.doi.org/10.2140/agt.2001.1.173.

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Mahowald, Mark, and Hal Sadofsky. "$v_n$ telescopes and the Adams spectral sequence." Duke Mathematical Journal 78, no. 1 (1995): 101–29. http://dx.doi.org/10.1215/s0012-7094-95-07806-5.

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Lellmann, Wolfgang, and Mark Mahowald. "The $b{\rm o}$-Adams spectral sequence." Transactions of the American Mathematical Society 300, no. 2 (1987): 593. http://dx.doi.org/10.1090/s0002-9947-1987-0876468-1.

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Behrens, Mark. "Root invariants in the Adams spectral sequence." Transactions of the American Mathematical Society 358, no. 10 (2005): 4279–341. http://dx.doi.org/10.1090/s0002-9947-05-03773-6.

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Dissertations / Theses on the topic "Adams spectral sequence"

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Andrews, Michael Joseph Ph D. Massachusetts Institute of Technology. "The v₁-periodic part of the Adams spectral sequence at an odd prime/." Thesis, Massachusetts Institute of Technology, 2015. http://hdl.handle.net/1721.1/99328.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2015.<br>In title on title-page, "v" is italicized, and "1" is subscript. Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 139-140).<br>We tell the story of the stable homotopy groups of spheres for odd primes at chromatic height 1 through the lens of the Adams spectral sequence. We find the "dancers to a discordant system." We calculate a Bockstein spectral sequence which converges to the 1-line of the chromatic spectral sequence for the odd primary Adams E₂-page. Furthermore,
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2

Petrovic, Vojislav. "The K(n)-local E n-Adams Spectral Sequence and a Cohomological Approximation of its E2-term." Thesis, University of Louisiana at Lafayette, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10623147.

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<p> Let <i>n</i> &ge; 1 be any integer and let <i>p</i> be a prime number. For a profinite group <i>G</i> and any discrete abelian group <i>M</i>, we use Map<sup>c</sup>(<i>G, M </i>) to denote the abelian group of continuous functions from <i> G</i> to <i>M</i>. For the most part, our interests lie in a particular profinite group known as the extended Morava stabilizer group. Denoted by <i>G<sub>n</sub></i>, this profinite group is the semi-direct product of the Morava stabilizer group Sn with the Galois group of the field extension <b>F</b><i><sub>p<sup>n</sup></sub></i>/<b> F</b><i><sub>p</
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Greenlees, J. P. C. "Adams spectral sequences in equivariant topology." Thesis, University of Cambridge, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.373251.

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Behrens, Mark. "Root invariants in the Adams spectral sequence /." 2003. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:3088714.

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Kan, Chung-Wei, and 甘崇瑋. "The differential in the Adams spectral sequence for spheres." Thesis, 2001. http://ndltd.ncl.edu.tw/handle/64596022888616182984.

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博士<br>國立清華大學<br>數學系<br>89<br>The differential in the Adams spectral sequence for spheres Let A denote the mod 2 Steenrod algebra . The mod 2 Adams spectral sequence is one of the most important tools for computing the 2-adic stable homotopy groups of spheres , which has E_2 term =Ext group , the cohomology of the mod 2 Steenrod algebra . Let h{i} be the class corresponding to the generator sq{2^{i}}in A as described by J. F. Adams in [ 1] . Adams also proves that h{i}^{2} in Ext group and that h{i}^{3}=h{i-1}^{2}h{i+1} in Ext group for all i>=0 . It is well known that h{
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Books on the topic "Adams spectral sequence"

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Kochman, Stanley O. Bordism, stable homotopy, and Adams spectral sequences. American Mathematical Society, 1996.

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Zhuravlev, P. V. Spektroradiometricheskie pribory distant︠s︡ionnogo zondirovanii︠a︡ na osnove preobrazovanii︠a︡ Adamara. Konstruktorsko-tekhnologicheskiĭ institut prikladnoĭ mikroėlektroniki SO RAN, 2003.

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Rognes, John, and Robert R. Bruner. Adams Spectral Sequence for Topological Modular Forms. American Mathematical Society, 2022.

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Adams Spectral Sequence for Topological Modular Forms. American Mathematical Society, 2021.

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Manifolds with singularities and the Adams-Novikov spectral sequence. Cambridge University Press, 1992.

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Botvinnik, Boris I. Manifolds with Singularities and the Adams-Novikov Spectral Sequence. Cambridge University Press, 2011.

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Botvinnik, Boris I. Manifolds with Singularities and the Adams-Novikov Spectral Sequence. Cambridge University Press, 2010.

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Book chapters on the topic "Adams spectral sequence"

1

Fomenko, Anatoly, and Dmitry Fuchs. "Chapter 5: The Adams Spectral Sequence." In Graduate Texts in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-23488-5_5.

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Bruner, Robert R. "The adams spectral sequence of H∞ ring spectra." In H∞ Ring Spectra and their Applications. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0075411.

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Switzer, Robert M. "The Adams Spectral Sequence and the e-Invariant." In Algebraic Topology — Homotopy and Homology. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-642-61923-6_20.

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Brown, Edgar H., and Ralph L. Cohen. "IV. The Adams Spectral Sequence of Ω2S3 and Brown Gitlet Spectra." In Algebraic Topology and Algebraic K-Theory (AM-113), edited by William Browder. Princeton University Press, 1988. http://dx.doi.org/10.1515/9781400882113-005.

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Merkurjev, Alexander. "Adams Operations and the Brown-Gersten-Quillen Spectral Sequence." In Quadratic Forms, Linear Algebraic Groups, and Cohomology. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-6211-9_19.

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Davis, Donald M. "The bo-adams spectral sequence: Some calculations and a proof of its vanishing line." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078745.

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"The Adams Spectral Sequence." In A User's Guide to Spectral Sequences. Cambridge University Press, 2000. http://dx.doi.org/10.1017/cbo9780511626289.012.

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"The Adams-Novikov spectral sequence." In Manifolds with Singularities and the Adams-Novikov Spectral Sequence. Cambridge University Press, 1992. http://dx.doi.org/10.1017/cbo9780511662645.005.

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Barnes, Dianne, David Poduska, and Paul Shick. "Unstable Adams spectral sequence charts." In Adams Memorial Symposium on Algebraic Topology. Cambridge University Press, 1992. http://dx.doi.org/10.1017/cbo9780511526312.013.

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"The classical Adams spectral sequence." In Complex Cobordism and Stable Homotopy Groups of Spheres. American Mathematical Society, 2003. http://dx.doi.org/10.1090/chel/347/03.

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