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$\mathbb{A}^1$-Brouwer
degrees in Macaulay2
Nikita Borisov, Thomas Brazelton, Frenly Espino, Thomas Hagedorn, Zhaobo Han, Jordy Lopez Garcia, Joel Louwsma, Wern Juin Gabriel Ong and Andrew R. Tawfeek |
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Vol. 14 (2024), 175–187
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Abstract |
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We describe the Macaulay2 package A1BrouwerDegrees for computing local and global -Brouwer degrees and studying symmetric bilinear forms over the complex numbers, the real numbers, the rational numbers, and finite fields of characteristic not equal to . |
Keywords
motivic homotopy theory, Brouwer degrees, EKL forms,
Grothendieck–Witt ring, symmetric bilinear forms
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Mathematical Subject Classification
Primary: 14F42, 55M25, 68W30
Secondary: 11E04, 14N10
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Supplementary material |
Milestones
Received: 30 December 2023
Revised: 23 July 2024
Accepted: 7 August 2024
Published: 5 October 2024
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Authors |
| Nikita Borisov | |
| University of Pennsylvania Philadelphia, PA United States |
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| Thomas Brazelton | |
| Harvard University Cambridge, MA United States |
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| Frenly Espino | |
| University of Pennsylvania Philadelphia, PA United States |
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| Thomas Hagedorn | |
| Department of Mathematics and
Statistics The College of New Jersey Ewing, NJ United States |
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| Zhaobo Han | |
| University of Pennsylvania Philadelphia, PA United States |
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| Jordy Lopez Garcia | |
| Department of Mathematics Texas A&M University College Station, TX United States |
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| Joel Louwsma | |
| Department of Mathematics Niagara University Niagara University, NY United States |
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| Wern Juin Gabriel Ong | |
| Bowdoin College Brunswick, ME United States |
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| Andrew R. Tawfeek | |
| University of Washington Seattle, WA United States |
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| © 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
