Zobrazeno 1 - 10
of 164
pro vyhledávání: '"Morava, Jack"'
Autor:
Morava, Jack
We propose a toy model for the algebraic topology of bubbling as circular symmetry-breaking, in terms of asymptotic expressions for Noether currents and cobordism of manifolds with circle actions free along boundaries. This leads to an interpretation
Externí odkaz:
http://arxiv.org/abs/2407.00672
Autor:
Morava, Jack
J McClure's Dyer-Lashof operation in $p$-adic $K$-theory defines, in particular, a prismatic structure on the complex representation ring of the circle group. Work of Ando, Rezk, Stapleton, and others generalizes this to define a canonical lift of Fr
Externí odkaz:
http://arxiv.org/abs/2401.12336
Autor:
Morava, Jack
We construct an interesting topological cover of the multiplicative group of the real line, related to Tate's elliptic curve with $q = e^\pi$. We use the language of homological algebra, 2D Lorentz geometry and high-school trigonometry; the intent is
Externí odkaz:
http://arxiv.org/abs/2311.06676
Autor:
Morava, Jack
We propose a geometric object slightly subtler than a complex line bundle with connection, a two-sphere fibration with structure group $\Omega^2_e S^2$, to parametrize a space of dimensional regularizations in the metaphysics of renormalization theor
Externí odkaz:
http://arxiv.org/abs/2307.10148
We compute the first two k-invariants of the Picard spectra of $KU$ and $KO$ by analyzing their Picard groupoids and constructing their unit spectra as global sections of sheaves on the category of manifolds. This allows us to determine the E_\infty-
Externí odkaz:
http://arxiv.org/abs/2306.10112
Autor:
Morava, Jack
We interpret the moment generating function ${\bf E}(e^{tX}):= {\rm exp}_F(t) \in {\bf R}[[t]]$ of a random variable $X$ as the exponential of an associated one-dimensional formal group law $F$ defined over ${\bf R}$.
Comment: The cumulant gener
Comment: The cumulant gener
Externí odkaz:
http://arxiv.org/abs/2304.00384
Autor:
Morava, Jack
The language of Harvey-Lawson currents and sparks may be useful for the study of Hopkins-Singer Wu classes in geometric topology, via equivariant Tate $K$-theory of circle actions and distributional generalizations of classical zeta functions.
C
C
Externí odkaz:
http://arxiv.org/abs/2301.05772
Autor:
Morava, Jack
R Kerr's Ricci-flat Lorentz 4-manifold was shown by B Carter in 1968 to support a classically completely integrable system of geodesics; here we interpret this system in terms of a locally conformally symplectic structure, which we identify (\S 2.2)
Externí odkaz:
http://arxiv.org/abs/2212.08210
Autor:
Morava, Jack
The Cayley transform compactifies Minkowski space $\M$, realized as self-adjoint $2\times2$ complex matrices following Penrose, as the unitary group $\U(2)$. Its complement is a compactification of a copy of a light-cone as it is usually drawn, const
Externí odkaz:
http://arxiv.org/abs/2111.08053
Autor:
Morava, Jack
Continuing work begin in arXiv:1910.12609, we interpret the Hurewicz homomorphism for Baker and Richter's noncommutative complex cobordism spectrum $M\xi$ in terms of characteristic numbers (indexed by quasi-symmetric functions) for complex-oriented
Externí odkaz:
http://arxiv.org/abs/2007.16155