This report synthesises findings from 10 peer-reviewed papers addressing the following research question: Can cross-encoder models with manifold-aware objectives maintain competitive accuracy on standard retrieval tasks (e.g., SQuAD, TriviaQA) while improving performance on adversarial benchmarks, as. 10 claims were extracted from source literature; 10 were independently verified against retrieved documents. An automated multi-reviewer quality assessment produced a score of 8.7/10. This report is a machine-generated literature synthesis and does not constitute original research.Research goal: Can cross-encoder models with manifold-aware objectives maintain competitive accuracy on standard retrieval tasks (e.g., SQuAD, TriviaQA) while improving performance on adversarial benchmarks, as measured by exact match and F1 score comparisons?Autonomous literature synthesis. Automated review score: 8.7/10. Full text and citation available at Assignee Research.