On the Tambara Affine Line

Autor: Chan, David, Mehrle, David, Quigley, J. D., Spitz, Ben, Van Niel, Danika

Tambara functors are the analogue of commutative rings in equivariant algebra. Nakaoka defined ideals in Tambara functors, leading to the definition of the Nakaoka spectrum of prime ideals in a Tambara functor. In this work, we continue the study of

Externí odkaz: http://arxiv.org/abs/2410.23052

Koszul Resolutions over Free Incomplete Tambara Functors for Cyclic $p$-Groups

Autor: Mehrle, David, Quigley, J. D., Stahlhauer, Michael

In equivariant algebra, Mackey functors replace abelian groups and incomplete Tambara functors replace commutative rings. In this context, we prove that equivariant Hochschild homology can sometimes be computed using Mackey functor-valued Tor. To com

Externí odkaz: http://arxiv.org/abs/2407.18382

The homotopy of the KU_G-local equivariant sphere spectrum

Autor: Carawan, Tanner N., Field, Rebecca, Guillou, Bertrand J., Mehrle, David, Stapleton, Nathaniel J.

We compute the homotopy Mackey functors of the $KU_G$-local equivariant sphere spectrum when $G$ is a finite $q$-group for an odd prime $q$, building on the degree zero case from arXiv:2204.03797.
Comment: 15 pages. Comments welcome!

Externí odkaz: http://arxiv.org/abs/2303.12271

The TESS Objects of Interest Catalog from the TESS Prime Mission

Autor: Guerrero, Natalia M., Seager, S., Huang, Chelsea X., Vanderburg, Andrew, Soto, Aylin Garcia, Mireles, Ismael, Hesse, Katharine, Fong, William, Glidden, Ana, Shporer, Avi, Latham, David W., Collins, Karen A., Quinn, Samuel N., Burt, Jennifer, Dragomir, Diana, Crossfield, Ian, Vanderspek, Roland, Fausnaugh, Michael, Burke, Christopher J., Ricker, George, Daylan, Tansu, Essack, Zahra, Günther, Maximilian N., Osborn, Hugh P., Pepper, Joshua, Rowden, Pamela, Sha, Lizhou, Villanueva Jr., Steven, Yahalomi, Daniel A., Yu, Liang, Ballard, Sarah, Batalha, Natalie M., Berardo, David, Chontos, Ashley, Dittmann, Jason A., Esquerdo, Gilbert A., Mikal-Evans, Thomas, Jayaraman, Rahul, Krishnamurthy, Akshata, Louie, Dana R., Mehrle, Nicholas, Niraula, Prajwal, Rackham, Benjamin V., Rodriguez, Joseph E., Rowden, Stephen J. L., Sousa-Silva, Clara, Watanabe, David, Wong, Ian, Zhan, Zhuchang, Zivanovic, Goran, Christiansen, Jessie L., Ciardi, David R., Swain, Melanie A., Lund, Michael B., Mullally, Susan E., Fleming, Scott W., Rodriguez, David R., Boyd, Patricia T., Quintana, Elisa V., Barclay, Thomas, Colón, Knicole D., Rinehart, S. A., Schlieder, Joshua E., Clampin, Mark, Jenkins, Jon M., Twicken, Joseph D., Caldwell, Douglas A., Coughlin, Jeffrey L., Henze, Chris, Lissauer, Jack J., Morris, Robert L., Rose, Mark E., Smith, Jeffrey C., Tenenbaum, Peter, Ting, Eric B., Wohler, Bill, Bakos, G. Á., Bean, Jacob L., Berta-Thompson, Zachory K., Bieryla, Allyson, Bouma, Luke G., Buchhave, Lars A., Butler, Nathaniel, Charbonneau, David, Doty, John P., Ge, Jian, Holman, Matthew J., Howard, Andrew W., Kaltenegger, Lisa, Kane, Stephen R., Kjeldsen, Hans, Kreidberg, Laura, Lin, Douglas N. C., Minsky, Charlotte, Narita, Norio, Paegert, Martin, Pál, András, Palle, Enric, Sasselov, Dimitar D., Spencer, Alton, Sozzetti, Alessandro, Stassun, Keivan G., Torres, Guillermo, Udry, Stephane, Winn, Joshua N.

We present 2,241 exoplanet candidates identified with data from the Transiting Exoplanet Survey Satellite (TESS) during its two-year prime mission. We list these candidates in the TESS Objects of Interest (TOI) Catalog, which includes both new planet

Externí odkaz: http://arxiv.org/abs/2103.12538

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