The $E_2^{hC_6}$-homology of $\mathbb{R}P_2$ and $\mathbb{R}P_2 \wedge \mathbb{C}P_2
Let $E_2$ be the Morava E-theory of height 2 at the prime 2. In this paper, we compute the homotopy groups of $E_2^{hC_6} \wedge \mathbb{R}P_2$ and $E_2^{hC_6} \wedge \mathbb{R}P_2 \wedge \mathbb{C}P_2$ using the homotopy fixed point spectral sequences.
Gespeichert in:
| Hauptverfasser: | , , , , , , , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Bobkova, Irina Carlisle, Jack Fitz, Emmett Ji, Mattie Kilway, Peter Kim, Hillary O'Neal, Kolton Schuckman, Jacob Tilton, Scotty |
| description | Let $E_2$ be the Morava E-theory of height 2 at the prime 2. In this paper,
we compute the homotopy groups of $E_2^{hC_6} \wedge \mathbb{R}P_2$ and
$E_2^{hC_6} \wedge \mathbb{R}P_2 \wedge \mathbb{C}P_2$ using the homotopy fixed
point spectral sequences. |
| doi_str_mv | 10.48550/arxiv.2412.02669 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2412_02669</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2412_02669</sourcerecordid><originalsourceid>FETCH-arxiv_primary_2412_026693</originalsourceid><addsrcrecordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjE00jMwMjOz5GQICclIVVBxjTeKq85wjjerVdHNyM_Nz8lPr1TIT1NQiclNLMlISqoOqg2IN1JRSMxLQRNTiClPTUlPVYAJOoMEeRhY0xJzilN5oTQ3g7yba4izhy7Y_viCoszcxKLKeJA74sHuMCasAgDgFDvk</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>The $E_2^{hC_6}$-homology of $\mathbb{R}P_2$ and $\mathbb{R}P_2 \wedge \mathbb{C}P_2</title><source>arXiv.org</source><creator>Bobkova, Irina ; Carlisle, Jack ; Fitz, Emmett ; Ji, Mattie ; Kilway, Peter ; Kim, Hillary ; O'Neal, Kolton ; Schuckman, Jacob ; Tilton, Scotty</creator><creatorcontrib>Bobkova, Irina ; Carlisle, Jack ; Fitz, Emmett ; Ji, Mattie ; Kilway, Peter ; Kim, Hillary ; O'Neal, Kolton ; Schuckman, Jacob ; Tilton, Scotty</creatorcontrib><description>Let $E_2$ be the Morava E-theory of height 2 at the prime 2. In this paper,
we compute the homotopy groups of $E_2^{hC_6} \wedge \mathbb{R}P_2$ and
$E_2^{hC_6} \wedge \mathbb{R}P_2 \wedge \mathbb{C}P_2$ using the homotopy fixed
point spectral sequences.</description><identifier>DOI: 10.48550/arxiv.2412.02669</identifier><language>eng</language><subject>Mathematics - Algebraic Topology</subject><creationdate>2024-12</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,778,883</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2412.02669$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2412.02669$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Bobkova, Irina</creatorcontrib><creatorcontrib>Carlisle, Jack</creatorcontrib><creatorcontrib>Fitz, Emmett</creatorcontrib><creatorcontrib>Ji, Mattie</creatorcontrib><creatorcontrib>Kilway, Peter</creatorcontrib><creatorcontrib>Kim, Hillary</creatorcontrib><creatorcontrib>O'Neal, Kolton</creatorcontrib><creatorcontrib>Schuckman, Jacob</creatorcontrib><creatorcontrib>Tilton, Scotty</creatorcontrib><title>The $E_2^{hC_6}$-homology of $\mathbb{R}P_2$ and $\mathbb{R}P_2 \wedge \mathbb{C}P_2</title><description>Let $E_2$ be the Morava E-theory of height 2 at the prime 2. In this paper,
we compute the homotopy groups of $E_2^{hC_6} \wedge \mathbb{R}P_2$ and
$E_2^{hC_6} \wedge \mathbb{R}P_2 \wedge \mathbb{C}P_2$ using the homotopy fixed
point spectral sequences.</description><subject>Mathematics - Algebraic Topology</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjE00jMwMjOz5GQICclIVVBxjTeKq85wjjerVdHNyM_Nz8lPr1TIT1NQiclNLMlISqoOqg2IN1JRSMxLQRNTiClPTUlPVYAJOoMEeRhY0xJzilN5oTQ3g7yba4izhy7Y_viCoszcxKLKeJA74sHuMCasAgDgFDvk</recordid><startdate>20241203</startdate><enddate>20241203</enddate><creator>Bobkova, Irina</creator><creator>Carlisle, Jack</creator><creator>Fitz, Emmett</creator><creator>Ji, Mattie</creator><creator>Kilway, Peter</creator><creator>Kim, Hillary</creator><creator>O'Neal, Kolton</creator><creator>Schuckman, Jacob</creator><creator>Tilton, Scotty</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20241203</creationdate><title>The $E_2^{hC_6}$-homology of $\mathbb{R}P_2$ and $\mathbb{R}P_2 \wedge \mathbb{C}P_2</title><author>Bobkova, Irina ; Carlisle, Jack ; Fitz, Emmett ; Ji, Mattie ; Kilway, Peter ; Kim, Hillary ; O'Neal, Kolton ; Schuckman, Jacob ; Tilton, Scotty</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2412_026693</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Algebraic Topology</topic><toplevel>online_resources</toplevel><creatorcontrib>Bobkova, Irina</creatorcontrib><creatorcontrib>Carlisle, Jack</creatorcontrib><creatorcontrib>Fitz, Emmett</creatorcontrib><creatorcontrib>Ji, Mattie</creatorcontrib><creatorcontrib>Kilway, Peter</creatorcontrib><creatorcontrib>Kim, Hillary</creatorcontrib><creatorcontrib>O'Neal, Kolton</creatorcontrib><creatorcontrib>Schuckman, Jacob</creatorcontrib><creatorcontrib>Tilton, Scotty</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bobkova, Irina</au><au>Carlisle, Jack</au><au>Fitz, Emmett</au><au>Ji, Mattie</au><au>Kilway, Peter</au><au>Kim, Hillary</au><au>O'Neal, Kolton</au><au>Schuckman, Jacob</au><au>Tilton, Scotty</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The $E_2^{hC_6}$-homology of $\mathbb{R}P_2$ and $\mathbb{R}P_2 \wedge \mathbb{C}P_2</atitle><date>2024-12-03</date><risdate>2024</risdate><abstract>Let $E_2$ be the Morava E-theory of height 2 at the prime 2. In this paper,
we compute the homotopy groups of $E_2^{hC_6} \wedge \mathbb{R}P_2$ and
$E_2^{hC_6} \wedge \mathbb{R}P_2 \wedge \mathbb{C}P_2$ using the homotopy fixed
point spectral sequences.</abstract><doi>10.48550/arxiv.2412.02669</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2412.02669 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2412_02669 |
| source | arXiv.org |
| subjects | Mathematics - Algebraic Topology |
| title | The $E_2^{hC_6}$-homology of $\mathbb{R}P_2$ and $\mathbb{R}P_2 \wedge \mathbb{C}P_2 |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-17T07%3A11%3A27IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20$E_2%5E%7BhC_6%7D$-homology%20of%20$%5Cmathbb%7BR%7DP_2$%20and%20$%5Cmathbb%7BR%7DP_2%20%5Cwedge%20%5Cmathbb%7BC%7DP_2&rft.au=Bobkova,%20Irina&rft.date=2024-12-03&rft_id=info:doi/10.48550/arxiv.2412.02669&rft_dat=%3Carxiv_GOX%3E2412_02669%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |