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A Survey on the Non-injectivity of the Vaserstein Symbol in Dimension Three

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Leavitt Path Algebras and Classical K-Theory

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Abstract

We give a recap of the study of the Vaserstein symbol \(V_A : Um_3(A)/E_3(A) \longrightarrow W_E(A)\), the elementary symplectic Witt group; when A is an affine threefold over a field k.

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Authors and Affiliations

  1. Statistics and Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata, 700108, India

    Neena Gupta

  2. Bhavan’s College, Andheri (W), Munshi Nagar, Mumbai, 400058, India

    Dhvanita R. Rao

  3. Credit Suisse, Powai, Mumbai, 400076, India

    Sagar Kolte

  4. Department of Mathematics, Indian Institute of Technology, Mumbai, 400076, India

    Sagar Kolte

Authors
  1. Neena Gupta
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  2. Dhvanita R. Rao
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  3. Sagar Kolte
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Corresponding author

Correspondence to Neena Gupta .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Cochin University of Science and Technology, Cochin, Kerala, India

    A. A. Ambily

  2. Centre for Research in Mathematics, Western Sydney University, Sydney, NSW, Australia

    Roozbeh Hazrat

  3. Statistics and Mathematics Unit, Indian Statistical Institute, Bengaluru, Karnataka, India

    B. Sury

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Gupta, N., Rao, D.R., Kolte, S. (2020). A Survey on the Non-injectivity of the Vaserstein Symbol in Dimension Three. In: Ambily, A., Hazrat, R., Sury, B. (eds) Leavitt Path Algebras and Classical K-Theory. Indian Statistical Institute Series. Springer, Singapore. https://doi.org/10.1007/978-981-15-1611-5_10

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