Matches in SemOpenAlex for { <https://semopenalex.org/work/W1501135539> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W1501135539 abstract "The 2-primary Hopf invariant 1 elements in the stable homotopy groups of spheres form the most accessible family of elements. In this paper, we explore some properties of the $$mathcal {E}_infty $$ ring spectra obtained from certain iterated mapping cones by applying the free algebra functor. In fact, these are equivalent to Thom spectra over infinite loop spaces related to the classifying spaces $$Bmathrm {SO},,Bmathrm {Spin},,Bmathrm {String}$$ . We show that the homology of these Thom spectra are all extended comodule algebras of the form $$mathcal {A}_*square _{mathcal {A}(r)_*}P_*$$ over the dual Steenrod algebra $$mathcal {A}_*$$ with $$mathcal {A}_*square _{mathcal {A}(r)_*}mathbb {F}_2$$ as an algebra retract. This suggests that these spectra might be wedges of module spectra over the ring spectra $$Hmathbb {Z}$$ , $$kmathrm {O}$$ or $$mathrm {tmf}$$ ; however, apart from the first case, we have no concrete results on this." @default.
- W1501135539 created "2016-06-24" @default.
- W1501135539 creator A5043205588 @default.
- W1501135539 date "2016-03-21" @default.
- W1501135539 modified "2023-10-09" @default.
- W1501135539 title "$$mathcal {E}_infty $$ E ∞ ring spectra and elements of Hopf invariant 1" @default.
- W1501135539 cites W1500084468 @default.
- W1501135539 cites W1504888925 @default.
- W1501135539 cites W1558833870 @default.
- W1501135539 cites W1983373140 @default.
- W1501135539 cites W1987083456 @default.
- W1501135539 cites W1990006771 @default.
- W1501135539 cites W2023178049 @default.
- W1501135539 cites W2032780888 @default.
- W1501135539 cites W2051970504 @default.
- W1501135539 cites W2058382879 @default.
- W1501135539 cites W2070960542 @default.
- W1501135539 cites W2076879186 @default.
- W1501135539 cites W2078080910 @default.
- W1501135539 cites W2092893640 @default.
- W1501135539 cites W2102358194 @default.
- W1501135539 cites W2107348806 @default.
- W1501135539 cites W2319169380 @default.
- W1501135539 cites W2963339754 @default.
- W1501135539 cites W4244927613 @default.
- W1501135539 cites W86343372 @default.
- W1501135539 doi "https://doi.org/10.1007/s40590-016-0096-8" @default.
- W1501135539 hasPublicationYear "2016" @default.
- W1501135539 type Work @default.
- W1501135539 sameAs 1501135539 @default.
- W1501135539 citedByCount "1" @default.
- W1501135539 countsByYear W15011355392019 @default.
- W1501135539 crossrefType "journal-article" @default.
- W1501135539 hasAuthorship W1501135539A5043205588 @default.
- W1501135539 hasBestOaLocation W15011355391 @default.
- W1501135539 hasConcept C114614502 @default.
- W1501135539 hasConcept C190470478 @default.
- W1501135539 hasConcept C202444582 @default.
- W1501135539 hasConcept C33923547 @default.
- W1501135539 hasConcept C37914503 @default.
- W1501135539 hasConceptScore W1501135539C114614502 @default.
- W1501135539 hasConceptScore W1501135539C190470478 @default.
- W1501135539 hasConceptScore W1501135539C202444582 @default.
- W1501135539 hasConceptScore W1501135539C33923547 @default.
- W1501135539 hasConceptScore W1501135539C37914503 @default.
- W1501135539 hasLocation W15011355391 @default.
- W1501135539 hasLocation W15011355392 @default.
- W1501135539 hasOpenAccess W1501135539 @default.
- W1501135539 hasPrimaryLocation W15011355391 @default.
- W1501135539 hasRelatedWork W31276363 @default.
- W1501135539 hasRelatedWork W47508523 @default.
- W1501135539 hasRelatedWork W51703881 @default.
- W1501135539 hasRelatedWork W54278953 @default.
- W1501135539 hasRelatedWork W57783819 @default.
- W1501135539 hasRelatedWork W60557810 @default.
- W1501135539 hasRelatedWork W62545441 @default.
- W1501135539 hasRelatedWork W65557667 @default.
- W1501135539 hasRelatedWork W66454716 @default.
- W1501135539 hasRelatedWork W9300025 @default.
- W1501135539 isParatext "false" @default.
- W1501135539 isRetracted "false" @default.
- W1501135539 magId "1501135539" @default.
- W1501135539 workType "article" @default.