S. Mandal

activity

19962026

most citedThe Homotopy Obstructions in Complete Intersections

2 citations · 5 across the 13 of their papers we have counts for

collaborators

Showing math.KTShow all

6 papers · 1 filter

math.KT2026

Chow-Witt Theory in the Arrowtic Paradigm

Satya Mandal

In this article we propose a theory of Chow-Witt groups, in the paradigm of Quillen's arrow based approach to $K$ -theory. We refer to this style of arguments as arrowtic paradigm.…

math.KT2026

Nontrivial vector bundles with trivial Chern classes

Satya Mandal

Let $F_{0}$ be an algebraically closed field, with $c ha r (F_{0}) = 0$ . In this article, for prime numbers $p \geq 2$ , we construct smooth affine algebras $B$ over ${\ma…

math.KT2024

Dévissage Hermitian Theory

Satya Mandal

We prove Dévissage theorems for Hermitian $K$ Theory (or $G W$ theory), analogous to Quillen's Dévissage theorem for $K$ -theory. For abelian categories ${\mathscr A}:=({\mathscr A},…

math.KT2023

Localization problems of Quillen

Satya Mandal

Let $X$ be a quasi projective scheme over a noetherian affine scheme $S p ec (A)$ , $U \subseteq X$ be an open subset, and $Z = X - U$ .Assume that $Z$ is complete intersection, with $k=codi…

math.KT2014★ 1 cited

Derived Witt-Dévissage Formalism

Satya Mandal

In this article we establish some formalism of Derived Witt-Dévissage theory for resolving subcategories of abelian categories. Results directly apply to noetherian schemes.

math.KT2010

K_0 of hypersurfaces defined by x_1^2+ ... + x_n^2 = \pm 1

Manoj K Keshari, Satya Mandal

Let $k$ be a field of characteristic $\neq = 2$ and let $Q_{n, m} (x_{1}, ..., x_{n}, y_{1}, ..., y_{m}) = x_{1}^{2} + ... + x_{n}^{2} - (y_{1}^{2} + ... + y_{m}^{2})$ be a quadratic form over $k$ . Let $R(Q_{n,m})=R_{n,m…