In this article, we define a family of C∗-algebras that are generated by a finite set of unitaries and isometries satisfying certain twisted commutation relations and prove their K-stability. This family includes the ...
Amrutiya, Sanjay; Biswas, Indranil(Cornell University Library, 2025-08)
Let X be a compact connected Kähler manifold. We consider the category \mathcal{C}^\mathrm{EC}(X) of flat holomorphic connections (E,\, \nabla^E) over X satisfying the condition that the underlying holomorphic vector bundle ...
Bhatt, Shreema Subhash; Biswas, Surajit; Saurabh, Bipul(Cornell University Library, 2025-06)
Let \( m, n \in \mathbb{N}_0 \), and let \( X \) be a closed subset of \( \mathbb{T}^{\binom{m+n}{2}} \). We define \( C^{m,n}_X \) to be the universal \( C^* \)-algebra among those generated by \( m \) unitaries and \( n ...
Choudhury, Projesh Nath; Nandi, Raju(Cornell University Library, 2025-08)
The quadratic embedding constant (QEC) of a finite, simple, connected graph originated from the classical work of Schoenberg [Ann. of Math., 1935] and [Trans. Amer. Math. Soc., 1938] on Euclidean distance geometry. In this ...
Page 27 of Ramanujan’s Lost Notebook contains a beautiful identity which, as shown by Andrews, not only gives a famous modular relation between the Rogers–Ramanujan functions G(q) and H(q) as a corollary but also a relation ...
Balodi, Mamta; Banerjee, Abhishek; Kour, Surjeet(Cornell University Library, 2025-08)
We obtain Gerstenhaber type structures on Davydov-Yetter cohomology with coefficients in half-braidings for a monoidal functor. Our approach uses a formal analogy between half-braidings of a monoidal functor and the entwining ...
Dixit, Atul; Kumar, Gaurav; Srivastava, Aviral(Cornell University Library, 2025-08)
We study the generating function of the excess number of Rogers-Ramanujan partitions with odd rank over those with even rank, and, using combinatorial and analytical techniques, show that this generating function is closely ...
Dixit, Atul; Kumar, Gaurav; Srivastava, Aviral(Cornell University Library, 2025-08)
A new sums-of-tails identity involving two parameters b and d is obtained and is used to derive more results of similar type. One of Ramanujan's sums-of-tails identities from the Lost Notebook is shown to be a special case ...
Sharan, N. Guru(Cornell University Library, 2025-07)
The rook numbers are fairly well-studied in the literature. In this paper, we study the max-rook number of the Ferrers boards associated to integer partitions. We show its connections with the Durfee triangle of the ...
We characterize Cohen-Macaulay posets of dimension two; they are precisely the shellable and strongly connected posets of dimension two. We also give a combinatorial description of these posets. Using the fact that ...
We study the gauge-theoretic aspects of real and quaternionic parabolic bundles over a real curve ( X , σ X ) , where X is a compact Riemann surface and σ X is an anti-holomorphic involution. For a fixed real or quaternionic ...
Let K be a field of characteristic zero and K[X] = K[x1, x2,...,xn] be the polynomial algebra in n variables over K. We show that, for a linear K-derivation d of K[X] and the maximal ideal m = (x1, x2,...,xn) of K[X], if ...
Pahlajani, Chetan D.(Cornell University Library, 2025-06)
In the present work, we explore homogenization techniques for a class of switching diffusion processes whose drift and diffusion coefficients, and jump intensities are smooth, spatially periodic functions; we assume full ...
Using joint reductions of complete ideals, we find expressions for the core and adjoints of the product of complete ideals in a two-dimensional regular local ring. We also compute their colengths. Our results strengthen a ...