Sanath K. Devalapurkar

activity

20152025

most citedA Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases

6 citations · 23 across the 21 of their papers we have counts for

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Showing 2023Show all

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hep-th2023★ 6 cited

A Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases

Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski +3

We study defects in symmetry breaking phases, such as domain walls, vortices, and hedgehogs. In particular, we focus on the localized gapless excitations which sometimes occur at t…

math.KT2023

$p$ -typical curves on $p$ -adic Tate twists and de Rham-Witt forms

Sanath K. Devalapurkar, Shubhodip Mondal

We show that de Rham--Witt forms are naturally isomorphic to $p$ -typical curves on $p$ -adic Tate twists, which answers a question of Artin--Mazur from 1977 pursued in the earlier w…

math.CO2023

Generalized $n$ -series and de Rham complexes

Sanath K. Devalapurkar, Max L. Misterka

The goal of this article is to study some basic algebraic and combinatorial properties of "generalized $n$ -series" over a commutative ring $R$ , which are functions $s: \mathbf{Z}_{…

math.AT2023★ 1 cited

Topological Hochschild homology, truncated Brown-Peterson spectra, and a topological Sen operator

Sanath K Devalapurkar

In this article, we study the topological Hochschild homology of $E_{3}$ -forms of truncated Brown-Peterson spectra, taken relative to certain Thom spectra $X (p^{n})$ (introduc…

math.RT2023

Chromatic aberrations of geometric Satake over the regular locus

Sanath K. Devalapurkar

Let $G$ be a connected, simply-laced, almost simple algebraic group over $C$ , let $G_{c}$ be a maximal compact subgroup of $G (C)$ , and let $T_{c}$ be a maximal torus…

math.AT2023

Lifting to truncated Brown-Peterson spectra and Hodge-de Rham degeneration in characteristic $p > 0$

Sanath K. Devalapurkar

The goal of this note is to prove that Hodge-de Rham degeneration holds for smooth and proper $F_{p}$ -schemes $X$ with $dim (X) < p^{n}$ as soon as its category of quasicoherent…

A Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases

p-typical curves on p-adic Tate twists and de Rham-Witt forms

Generalized n-series and de Rham complexes

Topological Hochschild homology, truncated Brown-Peterson spectra, and a topological Sen operator

Chromatic aberrations of geometric Satake over the regular locus

Lifting to truncated Brown-Peterson spectra and Hodge-de Rham degeneration in characteristic p>0

$p$ -typical curves on $p$ -adic Tate twists and de Rham-Witt forms

Generalized $n$ -series and de Rham complexes

Lifting to truncated Brown-Peterson spectra and Hodge-de Rham degeneration in characteristic $p > 0$