UNIVERSITY OF MIAMI
 

Christopher Scaduto

c.scaduto@math.miami.edu
Assistant Professor
Department of Mathematics
University of Miami
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Papers

Here is a list of my publications and preprints. Click on a title to view the abstract, or click here to show all abstracts. Articles are listed in the order in which they were first written, from newest to oldest.

Article Journal File arXiv
Instantons, special cycles, and knot concordance (with Ali Daemi, Hayato Imori, Kouki Sato, Masaki Taniguchi)
pdf arxiv
Chern-Simons functional, singular instantons, and the four-dimensional clasp number (with Ali Daemi)
pdf arxiv
Associative submanifolds and gradient cycles (with Simon Donaldson)
pdf arxiv
Framed instanton homology of surgeries on L-space knots (with Tye Lidman, Juanita Pinzon-Caicedo)
pdf arxiv
Equivariant aspects of singular instanton Floer homology (with Aliakbar Daemi)
pdf arxiv
Computing nu-invariants of Joyce's compact G2-manifolds
pdf arxiv
Niemeier lattices, smooth 4-manifolds and instantons arXiv:1808.10321
pdf arxiv
On definite lattices bounded by integer surgeries along knots with slice genus at most 2. Trans. Amer. Math. Soc. 372 (2019), no. 11, 7805--7829. (with Marco Golla)
Trans. Amer. Math. Soc. pdf arxiv
On definite lattices bounded by a homology 3-sphere and Yang-Mills instanton Floer theory arXiv:1805.07875
pdf arxiv
An odd Khovanov homotopy type. Adv. Math. 367 (2020). (with Sucharit Sarkar and Matt Stoffregen)
Adv. Math. pdf arxiv
Newstead's Mayer-Vietoris argument in characteristic 2. Internat. J. Math. 30 (2019), no. 12, 1950065, 18 pp. (with Matt Stoffregen)
Internat. J. Math. pdf arxiv
The cohomology of rank two stable bundle moduli: mod two nilpotency & skew Schur polynomials. Canad. J. Math. 71 (2016), no. 3, 683--715. (with Matt Stoffregen)
Canad. J. Math. pdf arxiv
Nilpotency in instanton homology, and the framed instanton homology of a surface times a circle. Adv. Math. 336 (2018), 377--408. (with Bill Chen)
Adv. Math. pdf arxiv
Two-fold quasi-alternating links, Khovanov homology and instanton homology. Quantum Topol. 9 (2018), no. 1, 167--205. (with Matt Stoffregen)
Quantum Topol. pdf arxiv
Klein-four connections and the Casson invariant for non-trivial admissible U(2) bundles. Algebr. Geom. Topol. 17 (2017), no. 5, 2841--2861. (with Matt Stoffregen)
Algebr. Geom. Topol. pdf arxiv
Instantons and odd Khovanov homology. J. Topol. 8 (2015), no. 3, 744--810. See errata for minor corrections.
J. Topol. pdf arxiv


Collaborators

William Chen-Mertens (York University), Ali Daemi (Washington University in St. Louis), Simon Donaldson (Simons Center / Imperial College), Marco Golla (Université de Nantes), Hayato Imori (Kyoto University), Tye Lidman (North Carolina State), Juanita Pinzón-Caicedo (Notre Dame), Sucharit Sarkar (UCLA), Kouki Sato (Meijo University), Matt Stoffregen (Michigan State), Masaki Taniguchi (RIKEN ITHEMS)






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